The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.


(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A318629 Number of 8-member subsets of [8*n] whose elements sum to a multiple of n. 2

%I #6 Aug 30 2018 23:15:59

%S 0,1,6470,245157,2630044,15380937,62893270,202927725,553275192,

%T 1329890705,2898762854,5843355957,11050100956,19813501785,33963673590,

%U 56017460733,89356455544,138432467745,209004466054,308406729925,445853163548,632776453353,883208213270

%N Number of 8-member subsets of [8*n] whose elements sum to a multiple of n.

%H Alois P. Heinz, <a href="/A318629/b318629.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4,-4,11,-8,0,8,-10,0,8,0,-10,8,0,-8,11,-4,-4,4,-1).

%F G.f.: x*(8*x^19 +6403*x^18 +219614*x^17 +1674059*x^16 +5870564*x^15 +12792670*x^14 +20763588*x^13 +27678950*x^12 +31887236*x^11 +33320524*x^10 +33336672*x^9 +31872212*x^8 +27691884*x^7 +20753602*x^6 +12799164*x^5 +5867258*x^4 +1675300*x^3 +219281*x^2 +6466*x+1) / ((x^4+1) *(x^2+1)^2 *(x+1)^4 *(x-1)^8).

%Y Row n=8 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 June 14 14:45 EDT 2024. Contains 373400 sequences. (Running on oeis4.)