A021644 Expansion of 1/((1-x)*(1-3*x)*(1-8*x)*(1-10*x)).

1, 22, 329, 4202, 49437, 554070, 6019393, 64026754, 670939973, 6954808718, 71511447657, 730821626106, 7433874254509, 75344008884166, 761482226728721, 7679159391907058, 77306290980599445, 777180486491935614, 7804745478988016185, 78310979704172834410, 785217996361299901181, 7869045558185261998262

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (22,-155,374,-240).

Formula

a(n) = (5000*10^n - 4608*8^n + 243*3^n - 5)/630. - Christian Krause, Jun 08 2026

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 3 x) (1 - 8 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
(* Alternative: *)
LinearRecurrence[{22, -155, 374, -240}, {1, 22, 329, 4202}, 20] (* Harvey P. Dale, Nov 01 2022 *)

Crossrefs

Sequence in context: A002539 A230965 A019958 * A021834 A019671 A021614

Adjacent sequences: A021641 A021642 A021643 * A021645 A021646 A021647

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved