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%I #6 Jul 31 2015 22:32:40
%S 13068,69264,241128,662640,1557660,3272688,6314664,11393808,19471500,
%T 31813200,50046408,76223664,112890588,163158960,230784840,320251728,
%U 436858764,586813968,777332520,1016740080,1314581148,1681732464
%N Seventh right hand column of triangle A165674
%C 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 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).
%F 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 a(n) = 720 + 3528*n + 4872*n^2 + 2940*n^3 + 875*n^4 + 126*n^5 +7*n^6
%F 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 LinearRecurrence[{7,-21,35,-35,21,-7,1},{13068,69264,241128,662640,1557660,3272688,6314664},30] (* _Harvey P. Dale_, Aug 24 2012 *)
%Y Cf. A165674, A007318, A028421, A126671.
%K easy,nonn
%O 1,1
%A _Johannes W. Meijer_, Oct 05 2009
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