A165679 Seventh right hand column of triangle A165674

13068, 69264, 241128, 662640, 1557660, 3272688, 6314664, 11393808, 19471500, 31813200, 50046408, 76223664, 112890588, 163158960, 230784840, 320251728, 436858764, 586813968, 777332520, 1016740080, 1314581148, 1681732464

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).

Formula

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)

a(n) = 720 + 3528*n + 4872*n^2 + 2940*n^3 + 875*n^4 + 126*n^5 +7*n^6

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

Mathematica

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {13068, 69264, 241128, 662640, 1557660, 3272688, 6314664}, 30] (* Harvey P. Dale, Aug 24 2012 *)

Crossrefs

Cf. A165674, A007318, A028421, A126671.

Sequence in context: A252191 A256730 A234329 * A111887 A249495 A235335

Adjacent sequences: A165676 A165677 A165678 * A165680 A165681 A165682

Keyword

easy,nonn

Author

Johannes W. Meijer, Oct 05 2009

Status

approved