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A124087 9th column of Catalan triangle A009766. 2
1430, 4862, 11934, 25194, 48450, 87210, 149226, 245157, 389367, 600875, 904475, 1332045, 1924065, 2731365, 3817125, 5259150, 7152444, 9612108, 12776588, 16811300, 21912660, 28312548, 36283236, 46142811, 58261125, 73066305, 91051857, 112784399, 138912059 (list; graph; refs; listen; history; text; internal format)
OFFSET

15,1

LINKS

Table of n, a(n) for n=15..43.

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

FORMULA

a(n) = C(n,8)-C(n,6).

a(n) = A214292(n+15,7). - Reinhard Zumkeller, Jul 12 2012

MAPLE

[seq(binomial(n, 8)-binomial(n, 6), n=15..45)];

MATHEMATICA

CoefficientList[Series[(429*z^7 - 3432*z^6 + 11880*z^5 - 23100*z^4 + 27300*z^3 - 19656*z^2 + 8008*z - 1430)/(z - 1)^9, {z, 0, 100}], z] (* Vladimir Joseph Stephan Orlovsky, Jul 16 2011 *)

Table[Binomial[n, 8]-Binomial[n, 6], {n, 15, 60}] (* or *) LinearRecurrence[ {9, -36, 84, -126, 126, -84, 36, -9, 1}, {1430, 4862, 11934, 25194, 48450, 87210, 149226, 245157, 389367}, 30] (* Harvey P. Dale, Apr 15 2017 *)

CROSSREFS

Cf. A009766

Cf. A064059, A064061, A124088.

Sequence in context: A238136 A060364 A243834 * A244105 A264181 A064305

Adjacent sequences:  A124084 A124085 A124086 * A124088 A124089 A124090

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Nov 25 2006

STATUS

approved

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)