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A069779
q-factorial numbers 4!_q.
3
1, 24, 315, 2080, 8925, 29016, 77959, 182400, 384345, 746200, 1356531, 2336544, 3847285, 6097560, 9352575, 13943296, 20276529, 28845720, 40242475, 55168800, 74450061, 99048664, 130078455, 168819840, 216735625, 275487576, 346953699, 433246240, 536730405, 660043800
OFFSET
0,2
FORMULA
a(n) = (n + 1)*(n^2 + n + 1)*(n^3 + n^2 + n + 1).
G.f.: (1 + 17*x + 8*x^2*(21 + 43*x) + 5*x^4*(35 + 3*x))/(1 - x)^7. - Arkadiusz Wesolowski, Nov 01 2012
MATHEMATICA
Table[QFactorial[4, n], {n, 0, 29}] (* Arkadiusz Wesolowski, Nov 01 2012 *)
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 24, 315, 2080, 8925, 29016, 77959}, 30] (* Harvey P. Dale, Aug 30 2020 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
STATUS
approved