A318629 Number of 8-member subsets of [8*n] whose elements sum to a multiple of n.

0, 1, 6470, 245157, 2630044, 15380937, 62893270, 202927725, 553275192, 1329890705, 2898762854, 5843355957, 11050100956, 19813501785, 33963673590, 56017460733, 89356455544, 138432467745, 209004466054, 308406729925, 445853163548, 632776453353, 883208213270

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

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

Adjacent sequences: A318626 A318627 A318628 * A318630 A318631 A318632

Keyword

nonn,easy

Author

Alois P. Heinz, Aug 30 2018

Status

approved