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A165679 Seventh right hand column of triangle A165674 4

%I

%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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Last modified February 17 12:14 EST 2020. Contains 331996 sequences. (Running on oeis4.)