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 A165679 #8 Jun 02 2025 02:05:11
%S A165679 13068,69264,241128,662640,1557660,3272688,6314664,11393808,19471500,
%T A165679 31813200,50046408,76223664,112890588,163158960,230784840,320251728,
%U A165679 436858764,586813968,777332520,1016740080,1314581148,1681732464
%N A165679 Seventh right hand column of triangle A165674.
%C A165679 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 A165679 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).
%F A165679 a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7* a(n-6) + a(n-7)
%F A165679 a(n) = 720 + 3528*n + 4872*n^2 + 2940*n^3 + 875*n^4 + 126*n^5 +7*n^6
%F A165679 Gf(z) = (0*z^8 - 720*z^7 + 5160*z^6 - 16008*z^5 + 28092*z^4 - 30708*z^3 + 22212*z^2 - 13068*z)/(z-1)^7
%t A165679 LinearRecurrence[{7,-21,35,-35,21,-7,1},{13068,69264,241128,662640,1557660,3272688,6314664},30] (* _Harvey P. Dale_, Aug 24 2012 *)
%Y A165679 Cf. A165674, A007318, A028421, A126671.
%K A165679 easy,nonn
%O A165679 1,1
%A A165679 _Johannes W. Meijer_, Oct 05 2009