A259708 -id:A259708 - cp's OEIS frontend

A259709 a(n) = A259708(n,n-1).

0, -1, 0, 4, 22, 78, 240, 679, 1828, 4762, 12132, 30432, 75504, 185875, 455040, 1109540, 2697698, 6545670, 15859128, 38384099, 92832716, 224399570, 542226888, 1309862496, 3163659744, 7640066759, 18448657344, 44545569508, 107553559150, 259675788510

Offset: 1

N. J. A. Sloane, Jul 05 2015

sign

Eric M. Schmidt, Table of n, a(n) for n = 1..300
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.

Cf. A259708.

Empirical: a(n) = 4*a(n-1) - 2*a(n-2) - 6*a(n-3) + 2*a(n-4) + 4*a(n-5) + a(n-6). - Eric M. Schmidt, Jul 10 2015

Empirical: G.f.: -x^2*(-1+2*x^2+4*x) / ( (x^2+2*x-1)*(x^2+x-1)^2 ). - R. J. Mathar, Jul 15 2015

More terms from Eric M. Schmidt, Jul 10 2015

A006502 Related to Fibonacci numbers.

Original entry on oeis.org

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

N. J. A. Sloane

nonn

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

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.

A diagonal of triangle in A259708.

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

More terms from Michel Marcus, Feb 26 2016

cp's OEIS Frontend

A259709 a(n) = A259708(n,n-1).

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