A206608 Fibonacci sequence beginning 13, 10.

13, 10, 23, 33, 56, 89, 145, 234, 379, 613, 992, 1605, 2597, 4202, 6799, 11001, 17800, 28801, 46601, 75402, 122003, 197405, 319408, 516813, 836221, 1353034, 2189255, 3542289, 5731544, 9273833, 15005377, 24279210, 39284587, 63563797, 102848384, 166412181

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
• Index entries for linear recurrences with constant coefficients, signature (1,1).

Crossrefs

Cf. A000032, A000045, A206607.

Programs

Magma

I:=[13, 10]; [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, 10}, 80]

Formula

a(n) = Fibonacci(n+5) + Fibonacci(n-6). - Greg Dresden and Gavron Campbell, Mar 03 2022