A024771 Expansion of 1/((1-x)(1-8x)(1-9x)(1-10x)).

1, 28, 515, 7850, 107481, 1373088, 16714975, 196403350, 2246489861, 25160397548, 277090599435, 3010102678050, 32332333478641, 344033387428408, 3631750686931895, 38080468894107950, 396993032851849821

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (28,-269,962,-720).

Formula

a(n) = (28*10^(n+3) - 63*9^(n+3) + 36*8^(n+3) - 1)/504. [Yahia Kahloune, Aug 13 2013]

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 8 x) (1 - 9 x) (1 - 10 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 13 2013 *)
LinearRecurrence[{28, -269, 962, -720}, {1, 28, 515, 7850}, 20] (* Harvey P. Dale, Sep 27 2023 *)

Prog

(PARI) a(n) = (28*10^(n+3) - 63*9^(n+3) + 36*8^(n+3) - 1)/504; \\ Joerg Arndt, Aug 13 2013

Crossrefs

Sequence in context: A028078 A028000 A028067 * A028050 A026738 A026149

Adjacent sequences: A024768 A024769 A024770 * A024772 A024773 A024774

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved