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A160835 G.f.: (1+44*x+339*x^2+630*x^3+323*x^4+42*x^5+x^6)/(1-x)^7. 1
1, 51, 675, 4319, 18131, 58121, 154701, 359605, 754189, 1459111, 2645391, 4546851, 7473935, 11828909, 18122441, 26991561, 39219001, 55753915, 77733979, 106508871, 143665131, 191052401, 250811045, 325401149, 417632901, 530698351 (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) = 1+n*(n+1)*(23*n^4+48*n^3+98*n^2+73*n+58)/12. - R. J. Mathar, Sep 17 2011

MATHEMATICA

Table[1+n*(n+1)*(23*n^4+48*n^3+98*n^2+73*n+58)/12, {n, 0, 30}] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 51, 675, 4319, 18131, 58121, 154701}, 30] (* G. C. Greubel, Apr 28 2018 *)

PROG

(MAGMA) [1+n*(n+1)*(23*n^4+48*n^3+98*n^2+73*n+58)/12: n in [0..30]]; // Vincenzo Librandi, Sep 18 2011

(PARI) for(n=0, 30, print1(1+n*(n+1)*(23*n^4+48*n^3+98*n^2+73*n+58)/12, ", ")) \\ G. C. Greubel, Apr 28 2018

CROSSREFS

Sequence in context: A210055 A020278 A160829 * A231750 A232020 A210176

Adjacent sequences:  A160832 A160833 A160834 * A160836 A160837 A160838

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 18 2009

STATUS

approved

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Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)