7 removed LaTeX in preparation of disabling MathJax

$$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'_  Code explanation: "$$\varphi=1+" "This is a static string"; "\cfrac1{1+"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";  Few examples: N = 0 $$\varphi=1+\dots$$ $$\varphi=1+\dots$$  N = 4 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$ $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$  N = 15 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$ $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$  UPDATE - 1 byte saved thanks to Sp3000! Try it online here CJam, 51 50 bytes $$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'$_  Code explanation: "$$\varphi=1+" "This is a static string"; "\cfrac1{1+"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";  Few examples: N = 0 $$\varphi=1+\dots$$ N = 4 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$ N = 15 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$ UPDATE - 1 byte saved thanks to Sp3000! Try it online here CJam, 51 50 bytes $$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'_  Code explanation: "$$\varphi=1+" "This is a static string"; "\cfrac1{1+"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";  Few examples: N = 0 $$\varphi=1+\dots$$  N = 4 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$  N = 15 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$  UPDATE - 1 byte saved thanks to Sp3000! Try it online here 6 edited body CJam, 51 50 bytes $$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'$_


Code explanation:

"$$\varphi=1+" "This is a static string"; "\cfrac1{1+\\"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$$$\varphi=1+" "This is a static string"; "\cfrac1{1+"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";


Few examples:

N = 0

$$\varphi=1+\dots$$

N = 4

$$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$

N = 15

$$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$

UPDATE - 1 byte saved thanks to Sp3000!

Try it online here

$$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'_  Code explanation: "$$\varphi=1+" "This is a static string"; "\cfrac1{1+\\"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";  Few examples: N = 0 $$\varphi=1+\dots$$ N = 4 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$ N = 15 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$ UPDATE - 1 byte saved thanks to Sp3000! Try it online here CJam, 51 50 bytes $$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'$_  Code explanation: "$$\varphi=1+" "This is a static string"; "\cfrac1{1+"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";  Few examples: N = 0 $$\varphi=1+\dots$$ N = 4 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$ N = 15 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$ UPDATE - 1 byte saved thanks to Sp3000! Try it online here 5 Rollback to Revision 3 CJam, 51 50 bytes $$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'_  Code explanation: "$$\varphi=1+" "This is a static string"; "\cfrac1{1+\\"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";  Few examples: N = 0 $$\varphi=1+\dots$$ N = 4 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$ N = 15 $$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$ UPDATE - 1 byte saved thanks to Sp3000! Pyth, 49 bytes Here is a direct translation of the above code in Pyth, where it saves 1 byte: s("$$\varphi=1+"*"\cfrac1{1+"Q\\>"ddots"!Q*Q\}"$$  Try it online here Try it online here CJam, 51 50 bytes $$\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'$_


Code explanation:

"$$\varphi=1+" "This is a static string"; "\cfrac1{1+\\"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";


Few examples:

N = 0

$$\varphi=1+\dots$$

N = 4

$$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$

N = 15

$$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$

UPDATE - 1 byte saved thanks to Sp3000!

Pyth, 49 bytes

Here is a direct translation of the above code in Pyth, where it saves 1 byte:

s("$$\varphi=1+"*"\cfrac1{1+"Q\\>"ddots"!Q*Q\}"$$


Try it online here

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CJam, 51 50 bytes

\varphi=1+""\cfrac1{1+"ri:R*'\"ddots"R!>'}R*'\$_


Code explanation:

"$$\varphi=1+" "This is a static string"; "\cfrac1{1+\\"ri:R*'\ "Repeat this string input number times. Put a \ at the end"; "ddots"R!> "If input is 0, remove 1st characters, else not"; '}R* "Put the closing bracket R times"; '_ "The final$$";


Few examples:

N = 0

$$\varphi=1+\dots$$

N = 4

$$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}$$

N = 15

$$\varphi=1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\cfrac1{1+\ddots}}}}}}}}}}}}}}}$$

UPDATE - 1 byte saved thanks to Sp3000!

Try it online here

4 added 342 characters in body
3 added 66 characters in body
2 added 339 characters in body
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