A006502 Related to Fibonacci numbers. (Formerly M2970)

1, 3, 14, 60, 279, 1251, 5329, 21532, 83225, 310464, 1126502, 4000602, 13973725, 48187521, 164535708, 557528652, 1878067349, 6297614277, 21043287325, 70125062642, 233198372319, 774246922848, 2567419361916, 8505547438596, 28157369861593, 93162331494255, 308108749498202

Offset

0,2

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=0..26.

L. Carlitz, Some polynomials related to Fibonacci and Eulerian numbers, Fib. Quart., 16 (1978), 217. (Annotated scanned copy)

L. Carlitz, Some polynomials related to Fibonacci and Eulerian numbers, Fib. Quart., 16 (1978), 216-226.

Formula

Conjecture: g.f. ( 1-7*x+18*x^2-10*x^3+5*x^4-15*x^5-39*x^6-20*x^7-3*x^8 ) / ( (x^2+3*x-1) *(x^2+2*x-1)^2 *(x^2+x-1)^3 ). - R. J. Mathar, Jun 18 2019

Crossrefs

A diagonal of triangle in A259708.

Sequence in context: A219544 A131262 A171499 * A024037 A281349 A307268

Adjacent sequences: A006499 A006500 A006501 * A006503 A006504 A006505

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Michel Marcus, Feb 26 2016

Status

approved