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.

A055832 T(n,n-5), where T is the array in A055830.

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%I A055832 #18 Sep 08 2022 08:45:01
%S A055832 8,30,73,145,255,413,630,918,1290,1760,2343,3055,3913,4935,6140,7548,
%T A055832 9180,11058,13205,15645,18403,21505,24978,28850,33150,37908,43155,
%U A055832 48923,55245,62155,69688,77880,86768,96390
%N A055832 T(n,n-5), where T is the array in A055830.
%H A055832 G. C. Greubel, <a href="/A055832/b055832.txt">Table of n, a(n) for n = 5..1000</a>
%H A055832 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F A055832 a(n) = (n-3)*(n-4)*(n^2+13*n+6)/24, n>4, sign corrected Mar 13 2016.
%F A055832 G.f.: x^5*(4-3*x)*(2-x)/(1-x)^5. - _R. J. Mathar_, Mar 13 2016
%F A055832 E.g.f.:  (-72 -120*x -36*x^2 + (72 +48*x -48*x^2 +12*x^3 +x^4)*exp(x))/24. - _G. C. Greubel_, Jan 21 2020
%p A055832 seq( (n-3)*(n-4)*(n^2+13*n+6)/4!, n=5..40); # _G. C. Greubel_, Jan 21 2020
%t A055832 Table[(n-3)*(n-4)*(n^2+13*n+6)/4!, {n,5,40}] (* _G. C. Greubel_, Jan 21 2020 *)
%o A055832 (PARI) a(n) = (n-3)*(n-4)*(n^2+13*n+6)/4!; \\ _G. C. Greubel_, Jan 21 2020
%o A055832 (Magma) [(n-3)*(n-4)*(n^2+13*n+6)/24: n in [5..40]]; // _G. C. Greubel_, Jan 21 2020
%o A055832 (Sage) [(n-3)*(n-4)*(n^2+13*n+6)/24 for n in (5..40)] # _G. C. Greubel_, Jan 21 2020
%o A055832 (GAP) List([5..40], n-> (n-3)*(n-4)*(n^2+13*n+6)/24); # _G. C. Greubel_, Jan 21 2020
%Y A055832 Cf. A055830.
%K A055832 nonn,easy
%O A055832 5,1
%A A055832 _Clark Kimberling_, May 28 2000