A021829 Expansion of 1/((1-x)(1-4x)(1-6x)(1-10x)).

1, 21, 297, 3577, 39753, 422793, 4384969, 44813769, 454009545, 4575676105, 45971643081, 461011315401, 4617904831177, 46225887853257, 462540273695433, 4627092539587273, 46281069938293449, 462871589543951049

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (21,-144,364,-240).

Formula

a(n) = (5*10^(n+3) - 27*6^(n+3) + 30*4^(n+3) - 8)/1080. [Yahia Kahloune, Jun 26 2013]

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 6 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
LinearRecurrence[{21, -144, 364, -240}, {1, 21, 297, 3577}, 20] (* Harvey P. Dale, May 08 2022 *)

Crossrefs

Sequence in context: A025940 A041844 A295779 * A019943 A021634 A295049

Adjacent sequences: A021826 A021827 A021828 * A021830 A021831 A021832

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved