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A160815 Expansion of (1+62*x+562*x^2+1023*x^3+458*x^4+49*x^5+x^6)/(1-x)^7. 1
1, 69, 1024, 6777, 28773, 92589, 246688, 573329, 1201633, 2322805, 4207512, 7225417, 11866869, 18766749, 28730472, 42762145, 62094881, 88223269, 122938000, 168362649, 226992613, 301736205, 395957904, 513523761, 658848961 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Source: the De Loera et al. article and the Haws website listed in A160747.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

FORMULA

a(n) = 539*n^6/180 +151*n^5/15 +335*n^4/18 +19*n^3 +2231*n^2/180 +74*n/15 +1. - R. J. Mathar, Sep 11 2011

MATHEMATICA

CoefficientList[Series[(1+62*x+562*x^2+1023*x^3+458*x^4+49*x^5+x^6)/(1-x)^7, {x, 0, 50}], x] (* G. C. Greubel, Apr 26 2018 *)

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 69, 1024, 6777, 28773, 92589, 246688}, 30] (* Harvey P. Dale, Sep 16 2019 *)

PROG

(MAGMA) [539*n^6/180 +151*n^5/15 +335*n^4/18 +19*n^3 +2231*n^2/180 +74*n/15 +1: n in [0..30]]; // Vincenzo Librandi, Sep 18 2011

(PARI) x='x+O('x^30); Vec((1+62*x+562*x^2+1023*x^3+458*x^4+49*x^5 + x^6)/(1-x)^7) \\ G. C. Greubel, Apr 26 2018

CROSSREFS

Sequence in context: A093269 A108147 A160788 * A160816 A160817 A160836

Adjacent sequences:  A160812 A160813 A160814 * A160816 A160817 A160818

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 18 2009

STATUS

approved

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Last modified December 1 09:39 EST 2021. Contains 349426 sequences. (Running on oeis4.)