A206610 Fibonacci sequence beginning 13, 8.

13, 8, 21, 29, 50, 79, 129, 208, 337, 545, 882, 1427, 2309, 3736, 6045, 9781, 15826, 25607, 41433, 67040, 108473, 175513, 283986, 459499, 743485, 1202984, 1946469, 3149453, 5095922, 8245375, 13341297, 21586672, 34927969, 56514641, 91442610, 147957251

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Feb 10 2012

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Rigoberto Flórez, Robinson A. Higuita, and Antara Mukherjee, The Geometry of some Fibonacci Identities in the Hosoya Triangle, arXiv:1804.02481 [math.NT], 2018.
• Index entries for linear recurrences with constant coefficients, signature (1,1).

Crossrefs

Cf. A000032, A000045, A206608, A206609.

Programs

Magma

I:=[13, 8]; [n le 2 select I[n] else Self(n-1)+Self(n-2): n in [1..40]]; // Vincenzo Librandi, Feb 16 2012

Mathematica

LinearRecurrence[{1, 1}, {13, 8}, 80]