OFFSET
0,1
REFERENCES
V. van der Noort and N. J. A. Sloane, Paper in preparation, 2007.
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) = (n+3)*(n+1)*(n^2 -10*n +12).
From G. C. Greubel, Jan 29 2020: (Start)
G.f.: 12*(3 -13*x +15*x^2 -3*x^3)/(1-x)^5.
E.g.f.: (36 -12*x -36*x^2 +x^4)*exp(x). (End)
MAPLE
seq( (n+3)*(n+1)*(n^2 -10*n +12), n=0..40); # G. C. Greubel, Jan 29 2020
MATHEMATICA
Table[(n+3)*(n+1)*(n^2 -10*n +12), {n, 0, 40}] (* G. C. Greubel, Jan 29 2020 *)
PROG
(PARI) vector(41, n, my(m=n-1); (m+3)*(m+1)*(m^2 -10*m +12)) \\ G. C. Greubel, Jan 29 2020
(Magma) [(n+3)*(n+1)*(n^2 -10*n +12): n in [0..40]]; // G. C. Greubel, Jan 29 2020
(Sage) [(n+3)*(n+1)*(n^2 -10*n +12) for n in (0..40)] # G. C. Greubel, Jan 29 2020
(GAP) List([0..40], n-> (n+3)*(n+1)*(n^2 -10*n +12)); # G. C. Greubel, Jan 29 2020
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Vincent v.d. Noort, Mar 21 2007
STATUS
approved