2 deleted 1 character in body
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CJam, 20 bytes

1_2_{2$2$+}ri*;;;o];

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Explanation

This uses the recurrence relation shiprelationship shown in the OEIS pageOEIS page.

1_2_                   e# Push 1, 1, 2, 2 as initial values of the sequence
           ri          e# Read input
    {     }  *         e# Repeat block that many times
     2$2$              e# Copy the second and third elements from the top
         +             e# Add them
              ;;;      e# Discard the last three elements
                 o     e# Output
                  ];   e# Discard the rest to avoid implicit display

CJam, 20 bytes

1_2_{2$2$+}ri*;;;o];

Try it online!

Explanation

This uses the recurrence relation ship shown in the OEIS page.

1_2_                   e# Push 1, 1, 2, 2 as initial values of the sequence
           ri          e# Read input
    {     }  *         e# Repeat block that many times
     2$2$              e# Copy the second and third elements from the top
         +             e# Add them
              ;;;      e# Discard the last three elements
                 o     e# Output
                  ];   e# Discard the rest to avoid implicit display

CJam, 20 bytes

1_2_{2$2$+}ri*;;;o];

Try it online!

Explanation

This uses the recurrence relationship shown in the OEIS page.

1_2_                   e# Push 1, 1, 2, 2 as initial values of the sequence
           ri          e# Read input
    {     }  *         e# Repeat block that many times
     2$2$              e# Copy the second and third elements from the top
         +             e# Add them
              ;;;      e# Discard the last three elements
                 o     e# Output
                  ];   e# Discard the rest to avoid implicit display
1
source | link

CJam, 20 bytes

1_2_{2$2$+}ri*;;;o];

Try it online!

Explanation

This uses the recurrence relation ship shown in the OEIS page.

1_2_                   e# Push 1, 1, 2, 2 as initial values of the sequence
           ri          e# Read input
    {     }  *         e# Repeat block that many times
     2$2$              e# Copy the second and third elements from the top
         +             e# Add them
              ;;;      e# Discard the last three elements
                 o     e# Output
                  ];   e# Discard the rest to avoid implicit display