cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A017882 Expansion of 1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15).

This page as a plain text file.
%I A017882 #20 Sep 25 2024 15:50:35
%S A017882 1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,1,2,3,4,5,6,7,6,5,5,6,8,11,15,21,
%T A017882 28,33,36,38,40,43,48,56,71,94,122,152,182,211,239,266,294,332,390,
%U A017882 474,586,725,888,1071,1266,1466
%N A017882 Expansion of 1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15).
%C A017882 Number of compositions (ordered partitions) of n into parts 9, 10, 11, 12, 13, 14 and 15. - _Ilya Gutkovskiy_, May 27 2017
%H A017882 Vincenzo Librandi, <a href="/A017882/b017882.txt">Table of n, a(n) for n = 0..1000</a>
%H A017882 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,1,1,1,1,1,1,1).
%F A017882 a(n) = a(n-9) +a(n-10) +a(n-11) +a(n-12) +a(n-13) +a(n-14) +a(n-15) for n>14. - _Vincenzo Librandi_, Jul 01 2013
%t A017882 CoefficientList[Series[1 / (1 - Total[x^Range[9, 15]]),{x, 0, 80}], x] (* _Vincenzo Librandi_, Jul 01 2013 *)
%o A017882 (Magma)
%o A017882 m:=70; R<x>:=PowerSeriesRing(Integers(), m);
%o A017882 Coefficients(R!(1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15)));  // _Vincenzo Librandi_, Jul 01 2013
%o A017882 (SageMath)
%o A017882 def A017882_list(prec):
%o A017882     P.<x> = PowerSeriesRing(ZZ, prec)
%o A017882     return P( (1-x)/(1-x-x^9+x^(16)) ).list()
%o A017882 A017882_list(80) # _G. C. Greubel_, Sep 25 2024
%Y A017882 Cf. A017877, A017878, A017879, A017880, A017881, A017883, A017884, A017885, A017886.
%K A017882 nonn,easy
%O A017882 0,20
%A A017882 _N. J. A. Sloane_