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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 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 January 21 11:11 EST 2020. Contains 331105 sequences. (Running on oeis4.)