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A001780 Expansion of 1/((1+x)(1-x)^9). 6
1, 8, 37, 128, 367, 920, 2083, 4352, 8518, 15792, 27966, 47616, 78354, 125136, 194634, 295680, 439791, 641784, 920491, 1299584, 1808521, 2483624, 3369301, 4519424, 5998876, 7885280, 10270924, 13264896 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (8,-27,48,-42,0,42,-48,27,-8,1)

FORMULA

a(n) = 431*n/168 +(-1)^n/512 +391*n^3/288+ 26011*n^2/10080 +797*n^4/1920 +11*n^5/144 +n^6/120 +n^7/2016 +n^8/80640 +511/512. - R. J. Mathar, Mar 15 2011

Boas-Buck recurrence: a(n) = (1/n)*Sum_{p=0..n-1} (9 + (-1)^(n-p))*a(p), n >= 1, a(0) = 1. See the Boas-Buck comment in A046521 (here for the unsigned column k = 4 with offset 0). - Wolfdieter Lang, Aug 10 2017

PROG

(PARI) Vec(1/(1+x)/(1-x)^9+O(x^99)) \\ Charles R Greathouse IV, Apr 18 2012

CROSSREFS

Cf. A001769, A158454 (signed column k=4).

Sequence in context: A309281 A296537 A052387 * A258476 A320754 A053296

Adjacent sequences:  A001777 A001778 A001779 * A001781 A001782 A001783

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 25 23:08 EST 2020. Contains 331270 sequences. (Running on oeis4.)