[go: up one dir, main page]

login
A021829
Expansion of 1/((1-x)(1-4x)(1-6x)(1-10x)).
1
1, 21, 297, 3577, 39753, 422793, 4384969, 44813769, 454009545, 4575676105, 45971643081, 461011315401, 4617904831177, 46225887853257, 462540273695433, 4627092539587273, 46281069938293449, 462871589543951049
OFFSET
0,2
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
KEYWORD
nonn,easy
AUTHOR
STATUS
approved