A022119 Fibonacci sequence beginning 2, 19.

2, 19, 21, 40, 61, 101, 162, 263, 425, 688, 1113, 1801, 2914, 4715, 7629, 12344, 19973, 32317, 52290, 84607, 136897, 221504, 358401, 579905, 938306, 1518211, 2456517, 3974728, 6431245, 10405973, 16837218, 27243191, 44080409, 71323600, 115404009, 186727609, 302131618

Offset

0,1

Links

Ivan Panchenko, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

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

Formula

G.f.: (2+17*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

Mathematica

LinearRecurrence[{1, 1}, {2, 19}, 50] (* Paolo Xausa, May 29 2026 *)

Prog

(PARI) a(n)=([0, 1; 1, 1]^n*[2; 19])[1, 1] \\ Charles R Greathouse IV, May 28 2026

Crossrefs

See A294116 for a list of related sequences.

Sequence in context: A125611 A340922 A370460 * A042247 A041451 A268492

Adjacent sequences: A022116 A022117 A022118 * A022120 A022121 A022122

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved