login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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).

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

Adjacent sequences:  A318628 A318629 A318630 * A318632 A318633 A318634

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Aug 30 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 20:39 EST 2021. Contains 349558 sequences. (Running on oeis4.)