A027850 a(n) = (n+1)*(14*n^3+13*n^2+6*n+1).

1, 68, 531, 2056, 5645, 12636, 24703, 43856, 72441, 113140, 168971, 243288, 339781, 462476, 615735, 804256, 1033073, 1307556, 1633411, 2016680, 2463741, 2981308, 3576431, 4256496, 5029225, 5902676

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

Formula

a(0)=1, a(1)=68, a(2)=531, a(3)=2056, a(4)=5645, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5) Harvey P. Dale, May 21 2012

G.f.: (-71*x^3-201*x^2-63*x-1)/(x-1)^5 Harvey P. Dale, May 21 2012

Mathematica

(* From Harvey P. Dale, May 21 2012: (Start) *)
Table[(n+1) (14 n^3+13 n^2+6 n+1), {n, 0, 30}]
LinearRecurrence[ {5, -10, 10, -5, 1}, {1, 68, 531, 2056, 5645}, 30] (* End *)

Prog

(PARI) a(n)=(n+1)*(14*n^3+13*n^2+6*n+1) \\ Charles R Greathouse IV, Oct 21 2022

Crossrefs

Sequence in context: A281770 A032510 A211691 * A248467 A281565 A281883

Adjacent sequences: A027847 A027848 A027849 * A027851 A027852 A027853

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved