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A318631 Number of 10-member subsets of [10*n] whose elements sum to a multiple of n. 2
0, 1, 92252, 10015005, 211911256, 2054455670, 12565647510, 56672074888, 205811431514, 635627275767, 1731030733840, 4263421511271, 9672347764772, 20492404684400, 40975640875026, 77970286548270, 142128053955030, 249524848105533, 423793107835284, 698878653009537 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
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).
FORMULA
G.f.: x*(10*x^26 +92338*x^25 +9646514*x^24 +172035984*x^23 +1227946110*x^22 +4890258085*x^21 +12890246964*x^20 +25218221137*x^19 +40000080160*x^18 +54781619237*x^17 +67109913895*x^16 +75109489209*x^15 +78762565667*x^14 +79655768180*x^13 +78762567575*x^12 +75109489423*x^11 +67109913979*x^10 +54781618619*x^9 +40000079524*x^8 +25218220679*x^7 +12890245939*x^6 +4890259109*x^5 +1227947663*x^4 +172035752*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).
CROSSREFS
Row n=10 of A318557.
Sequence in context: A116097 A116122 A116134 * A194722 A140932 A208623
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Aug 30 2018
STATUS
approved

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Last modified June 12 23:24 EDT 2024. Contains 373362 sequences. (Running on oeis4.)