A055832 T(n,n-5), where T is the array in A055830.

8, 30, 73, 145, 255, 413, 630, 918, 1290, 1760, 2343, 3055, 3913, 4935, 6140, 7548, 9180, 11058, 13205, 15645, 18403, 21505, 24978, 28850, 33150, 37908, 43155, 48923, 55245, 62155, 69688, 77880, 86768, 96390

Offset

5,1

Links

G. C. Greubel, Table of n, a(n) for n = 5..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = (n-3)*(n-4)*(n^2+13*n+6)/24, n>4, sign corrected Mar 13 2016.

G.f.: x^5*(4-3*x)*(2-x)/(1-x)^5. - R. J. Mathar, Mar 13 2016

E.g.f.: (-72 -120*x -36*x^2 + (72 +48*x -48*x^2 +12*x^3 +x^4)*exp(x))/24. - G. C. Greubel, Jan 21 2020

Maple

seq( (n-3)*(n-4)*(n^2+13*n+6)/4!, n=5..40); # G. C. Greubel, Jan 21 2020

Mathematica

Table[(n-3)*(n-4)*(n^2+13*n+6)/4!, {n, 5, 40}] (* G. C. Greubel, Jan 21 2020 *)

Prog

(PARI) a(n) = (n-3)*(n-4)*(n^2+13*n+6)/4!; \\ G. C. Greubel, Jan 21 2020
(Magma) [(n-3)*(n-4)*(n^2+13*n+6)/24: n in [5..40]]; // G. C. Greubel, Jan 21 2020
(Sage) [(n-3)*(n-4)*(n^2+13*n+6)/24 for n in (5..40)] # G. C. Greubel, Jan 21 2020
(GAP) List([5..40], n-> (n-3)*(n-4)*(n^2+13*n+6)/24); # G. C. Greubel, Jan 21 2020

Crossrefs

Cf. A055830.

Sequence in context: A004639 A317637 A131769 * A195753 A100175 A063489

Adjacent sequences: A055829 A055830 A055831 * A055833 A055834 A055835

Keyword

nonn,easy

Author

Clark Kimberling, May 28 2000

Status

approved