OFFSET
0,1
COMMENTS
Source: the De Loera et al. article and the Haws website listed in A160747.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
a(n) = 21*n^4/2 +247*n^3/6 +147*n^2/2 +377*n/6 +21. - R. J. Mathar, Sep 11 2011
E.g.f.: (126 + 1128*x + 1623*x^2 + 625*x^3 + 63*x^4)* exp(x)/6. - G. C. Greubel, Apr 26 2018
MATHEMATICA
CoefficientList[Series[(21+104x+103x^2+23x^3+x^4)/ (1-x)^5, {x, 0, 40}], x] (* Harvey P. Dale, Mar 28 2011 *)
LinearRecurrence[{5, -10, 10, -5, 1}, {21, 209, 938, 2833, 6771}, 50] (* G. C. Greubel, Apr 26 2018 *)
PROG
(PARI) for(n=0, 30, print1((63*n^4 + 247*n^3 +441*n^2 + 377*n + 126)/6, ", ")) \\ G. C. Greubel, Apr 26 2018
(Magma) [(63*n^4 + 247*n^3 +441*n^2 + 377*n + 126)/6: n in [0..30]]; // G. C. Greubel, Apr 26 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Nov 18 2009
STATUS
approved