OFFSET
1,1
LINKS
Colin Barker, Table of n, a(n) for n = 1..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) = 2*(n*(-31+196*n^2-336*n^4+192*n^6))/21. - Colin Barker, Jun 29 2015
G.f.: 2*x*(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1) / (x-1)^8. - Colin Barker, Jun 29 2015
PROG
(PARI) Vec(2*x*(x^6+722*x^5+10543*x^4+23548*x^3+10543*x^2+722*x+1)/(x-1)^8 + O(x^100)) \\ Colin Barker, Jun 29 2015
(PARI) a(n) = n*(384*n^6-672*n^4+392*n^2-62)/21 \\ Charles R Greathouse IV, Jun 29 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jun 24 2015
STATUS
approved