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

Author

Alois P. Heinz, Aug 30 2018

Keywords

• nonn
• easy

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).

Crossrefs

Row n=6 of A318557.

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).