OFFSET
1,2
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]
F. E. Croxton and D. J. Cowden, Applied General Statistics, 2nd Ed., Prentice-Hall, Englewood Cliffs, NJ, 1955 [Annotated scans of just pages 742-743]
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
a(n) = (n*(-31+196*n^2-336*n^4+192*n^6))/21. - Colin Barker, Jun 29 2015
G.f.: 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
MAPLE
f:=n->add((2*i+1)^6, i=0..n);
[seq(f(n), n=0..40)];
PROG
(PARI) Vec(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*(192*n^6-336*n^4+196*n^2-31)/21 \\ Charles R Greathouse IV, Jun 29 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jun 24 2015
STATUS
approved