A259546 a(n) = n^3*Fibonacci(n).

0, 1, 8, 54, 192, 625, 1728, 4459, 10752, 24786, 55000, 118459, 248832, 511901, 1034488, 2058750, 4042752, 7846061, 15069888, 28677479, 54120000, 101370906, 188586728, 348669719, 640991232, 1172265625, 2133603368, 3866095494, 6976587072, 12541531081

Offset

0,3

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-2,-8,5,8,-2,-4,-1).

Formula

G.f.: x*(x^2+1)*(x^4-4*x^3+23*x^2+4*x+1) / (x^2+x-1)^4.

Maple

a:= n-> n^3*(<<1|1>, <1|0>>^n)[1, 2]:
seq(a(n), n=0..50);  # Alois P. Heinz, Jun 30 2015

Prog

(PARI) a(n) = n^3*fibonacci(n)
(PARI) concat(0, Vec(x*(x^2+1)*(x^4-4*x^3+23*x^2+4*x+1)/(x^2+x-1)^4 + O(x^50)))

Crossrefs

Cf. A000045, A000578, A045925, A259451, A259547.

Sequence in context: A254951 A085537 A085540 * A355553 A122657 A152692

Adjacent sequences: A259543 A259544 A259545 * A259547 A259548 A259549

Keyword

nonn,easy

Author

Colin Barker, Jun 30 2015

Status

approved