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A165679 Seventh right hand column of triangle A165674 4
13068, 69264, 241128, 662640, 1557660, 3272688, 6314664, 11393808, 19471500, 31813200, 50046408, 76223664, 112890588, 163158960, 230784840, 320251728, 436858764, 586813968, 777332520, 1016740080, 1314581148, 1681732464 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 3 06:42 EST 2016. Contains 278698 sequences.