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

 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 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A318628 Number of 7-member subsets of [7*n] whose elements sum to a multiple of n. 2
 0, 1, 1716, 38760, 296010, 1344904, 4496388, 12271518, 28989675, 61474519, 119877472, 218618940, 377447148, 622614630, 988172374, 1517381580, 2264243157, 3295144749, 4690625500, 6547258432, 8979650478, 12122560170, 16133132940, 21193254160, 27512019711 (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 (6,-15,20,-15,6,-1,1,-6,15,-20,15,-6,1). FORMULA G.f.: -x*(7*x^12 +1674*x^11 +28569*x^10 +89050*x^9 +116029*x^8 +117612*x^7 +117655*x^6 +117648*x^5 +115939*x^4 +89170*x^3 +28479*x^2 +1710*x+1) / ((x^6+x^5+x^4+x^3+x^2+x+1) *(x-1)^7). a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) + a(n-7) - 6*a(n-8) + 15*a(n-9) - 20*a(n-10) + 15*a(n-11) - 6*a(n-12) + a(n-13). - Wesley Ivan Hurt, Mar 25 2023 CROSSREFS Row n=7 of A318557. Sequence in context: A185795 A260474 A222343 * A194719 A140910 A208620 Adjacent sequences: A318625 A318626 A318627 * A318629 A318630 A318631 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 20:06 EST 2023. Contains 367693 sequences. (Running on oeis4.)