OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
J. L. Bailey, Jr., A table to facilitate the fitting of certain logistic curves, Annals Math. Stat., 2 (1931), 355-359.
J. L. Bailey, A table to facilitate the fitting of certain logistic curves, Annals Math. Stat., 2 (1931), 355-359. [Annotated scanned copy]
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
a(n) = n/21-n^3/3+n^5+n^6+(2*n^7)/7. - Colin Barker, Jun 28 2015
G.f.: 2*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1) / (x-1)^8. - Colin Barker, Jun 28 2015
MATHEMATICA
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 2, 130, 1588, 9780, 41030, 134342, 369640}, 30] (* Harvey P. Dale, Jul 18 2020 *)
PROG
(PARI) concat(0, Vec(2*x*(x+1)*(x^4+56*x^3+246*x^2+56*x+1)/(x-1)^8 + O(x^100))) \\ Colin Barker, Jun 28 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jun 24 2015
STATUS
approved