A259109 2*A000540.

0, 2, 130, 1588, 9780, 41030, 134342, 369640, 893928, 1956810, 3956810, 7499932, 13471900, 23125518, 38184590, 60965840, 94520272, 142795410, 210819858, 304911620, 432911620, 604443862, 831203670, 1127275448, 1509481400, 1997762650, 2615594202, 3390435180

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

Cf. A000540.

Sequence in context: A099824 A351916 A300292 * A190578 A098533 A182421

Adjacent sequences: A259106 A259107 A259108 * A259110 A259111 A259112

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 24 2015

Status

approved