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A318629 Number of 8-member subsets of [8*n] whose elements sum to a multiple of n. 2
0, 1, 6470, 245157, 2630044, 15380937, 62893270, 202927725, 553275192, 1329890705, 2898762854, 5843355957, 11050100956, 19813501785, 33963673590, 56017460733, 89356455544, 138432467745, 209004466054, 308406729925, 445853163548, 632776453353, 883208213270 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (4,-4,-4,11,-8,0,8,-10,0,8,0,-10,8,0,-8,11,-4,-4,4,-1).
FORMULA
G.f.: x*(8*x^19 +6403*x^18 +219614*x^17 +1674059*x^16 +5870564*x^15 +12792670*x^14 +20763588*x^13 +27678950*x^12 +31887236*x^11 +33320524*x^10 +33336672*x^9 +31872212*x^8 +27691884*x^7 +20753602*x^6 +12799164*x^5 +5867258*x^4 +1675300*x^3 +219281*x^2 +6466*x+1) / ((x^4+1) *(x^2+1)^2 *(x+1)^4 *(x-1)^8).
CROSSREFS
Row n=8 of A318557.
Sequence in context: A206538 A288083 A232134 * A213117 A232410 A331977
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Aug 30 2018
STATUS
approved

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Last modified May 26 21:01 EDT 2024. Contains 372844 sequences. (Running on oeis4.)