A318627 Number of 6-member subsets of [6*n] whose elements sum to a multiple of n.

0, 1, 452, 6198, 33594, 118755, 324516, 749398, 1533686, 2869719, 5005980, 8259888, 13019358, 19757815, 29033576, 41507700, 57939438, 79208745, 106307256, 140364532, 182635562, 234531357, 297600576, 373566942, 464304450, 571880029, 698523980, 846678498

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 (2,1,-3,-1,1,4,-3,-3,4,1,-1,-3,1,2,-1).

Formula

G.f.: x*(6*x^14 +450*x^13 +5286*x^12 +20787*x^11 +46696*x^10 +72381*x^9 +88225*x^8 +92230*x^7 +88135*x^6 +72457*x^5 +46726*x^4 +20749*x^3 +5293*x^2 +450*x+1) / ((x^2-x+1) *(x^2+x+1)^2 *(x+1)^3 *(x-1)^6).

Crossrefs

Row n=6 of A318557.

Sequence in context: A222823 A205209 A236665 * A206217 A233228 A233145

Adjacent sequences: A318624 A318625 A318626 * A318628 A318629 A318630

Keyword

nonn,easy

Author

Alois P. Heinz, Aug 30 2018

Status

approved