login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
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

%I #6 Aug 30 2018 23:30:26

%S 0,1,92252,10015005,211911256,2054455670,12565647510,56672074888,

%T 205811431514,635627275767,1731030733840,4263421511271,9672347764772,

%U 20492404684400,40975640875026,77970286548270,142128053955030,249524848105533,423793107835284,698878653009537

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

%H Alois P. Heinz, <a href="/A318631/b318631.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_27">Index entries for linear recurrences with constant coefficients</a>, 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).

%F 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).

%Y Row n=10 of A318557.

%K nonn,easy

%O 0,3

%A _Alois P. Heinz_, Aug 30 2018

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 21 01:14 EDT 2024. Contains 374462 sequences. (Running on oeis4.)