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 A123615 Column 5 of triangle A123610. 5
 1, 6, 63, 392, 1764, 6352, 19404, 52272, 127413, 286286, 601203, 1192464, 2252432, 4078368, 7116336, 12018704, 19718181, 31521798, 49228487, 75274584, 112911880, 166423400, 241382700, 344962800, 486301725, 676932006, 931282191, 1267259168 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 FORMULA G.f.: P_5(x) / ((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2*(1-x^5)^2), with P_5(1) = 9!, where P_5(x) = (1+4*x+50*x^2+262*x^3+930*x^4+2566*x^5+5795*x^6+11156*x^7+ 18699*x^8+27712*x^9+36699*x^10+43696*x^11+46988*x^12+45696*x^13+ 40167*x^14+31828*x^15+22603*x^16+14268*x^17+7899*x^18+3762*x^19+ 1498*x^20+474*x^21+110*x^22+16*x^23+x^24). MATHEMATICA CoefficientList[Series[(1 + 4*x + 50*x^2 + 262*x^3 + 930*x^4 + 2566*x^5 + 5795*x^6 + 11156*x^7 + 18699*x^8 + 27712*x^9 + 36699*x^10 + 43696*x^11 + 46988*x^12 + 45696*x^13 + 40167*x^14 + 31828*x^15 + 22603*x^16 + 14268*x^17 + 7899*x^18 + 3762*x^19 + 1498*x^20 + 474*x^21 + 110*x^22 + 16*x^23 + x^24)/((1 - x)^2*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)^2*(1 - x^5)^2), {x, 0, 50}], x] (* G. C. Greubel, Oct 16 2017 *) PROG (PARI) {a(n)=polcoeff(truncate(Ser([1, 4, 50, 262, 930, 2566, 5795, 11156, 18699, 27712, 36699, 43696, 46988, 45696, 40167, 31828, 22603, 14268, 7899, 3762, 1498, 474, 110, 16, 1])) /((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2*(1-x^5)^2 +x*O(x^n)), n)} CROSSREFS Cf. A123610 (triangle); columns: A005997, A123613, A123614, A123616. Sequence in context: A184447 A053700 A296393 * A245754 A267248 A053535 Adjacent sequences: A123612 A123613 A123614 * A123616 A123617 A123618 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 03 2006 STATUS approved

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Last modified December 1 07:48 EST 2023. Contains 367468 sequences. (Running on oeis4.)