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.
%I A165677 #6 Jun 02 2025 02:05:04 %S A165677 274,1044,2754,5944,11274,19524,31594,48504,71394,101524,140274, %T A165677 189144,249754,323844,413274,520024,646194,794004,965794,1164024, %U A165677 1391274,1650244,1943754,2274744,2646274,3061524,3523794,4036504 %N A165677 Fifth right hand column of triangle A165674. %C A165677 The recurrence relation leads to Pascal's triangle A007318, the a(n) formula to Wiggen's triangle A028421 and the o.g.f to Wood's polynomials A126671; see A165674. %H A165677 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1). %F A165677 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) %F A165677 a(n) = 24 + 100*n + 105*n^2 + 40*n^3 + 5*n^4 %F A165677 Gf(z) = (0*z^6 - 24*z^5 + 126*z^4 - 274*z^3 + 326*z^2 - 274*z)/(z-1)^5 %Y A165677 Cf. A165674, A007318, A028421, A126671. %K A165677 easy,nonn %O A165677 1,1 %A A165677 _Johannes W. Meijer_, Oct 05 2009