A318631 Number of 10-member subsets of [10*n] whose elements sum to a multiple of n.

0, 1, 92252, 10015005, 211911256, 2054455670, 12565647510, 56672074888, 205811431514, 635627275767, 1731030733840, 4263421511271, 9672347764772, 20492404684400, 40975640875026, 77970286548270, 142128053955030, 249524848105533, 423793107835284, 698878653009537

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 (4,-2,-12,17,9,-32,10,29,-29,-9,28,-7,-5,-5,-7,28,-9,-29,29,10,-32,9,17,-12,-2,4,-1).

Crossrefs

Row n=10 of A318557.

Formula

G.f.: x*(10*x^26 +92338*x^25 +9646514*x^24 [phone]*x^23 [phone]*x^22 [phone]*x^21 [phone]*x^20 [phone]*x^19 [phone]*x^18 [phone]*x^17 [phone]*x^16 [phone]*x^15 [phone]*x^14 [phone]*x^13 [phone]*x^12 [phone]*x^11 [phone]*x^10 [phone]*x^9 [phone]*x^8 [phone]*x^7 [phone]*x^6 [phone]*x^5 [phone]*x^4 [phone]*x^3 +9645999*x^2 +92248*x+1) / ((x^4-x^3+x^2-x+1) *(x^4+x^3+x^2+x+1)^2 *(x+1)^5 *(x-1)^10).