A259318 a(n) = A259109(n)*A006331(n) - A259108(n)^2.

0, 0, 144, 6048, 85536, 679536, 3747744, 16039296, 56930688, 174978144, 479700144, 1198248480, 2770653600, 6002352720, 12298837824, 24014605824, 44957265408, 81097765056, 141549364944, 239891292576, 395928108576, 637992775728, 1005920381664, 1554840524160

Offset

0,3

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.

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

a(n) = (16*n^10+80*n^9+120*n^8-147*n^6-105*n^5+5*n^4+25*n^3+6*n^2)/525. - Colin Barker, Jun 29 2015

G.f.: -144*x^2*(x^6+31*x^5+187*x^4+330*x^3+187*x^2+31*x+1) / (x-1)^11. - Colin Barker, Jun 29 2015

Example

n=3: 6048 = 1588*28 - 196^2.

Prog

(PARI) concat([0, 0], Vec(-144*x^2*(x^6+31*x^5+187*x^4+330*x^3+187*x^2 +31*x+1)/(x-1)^11 + O(x^100))) \\ Colin Barker, Jun 29 2015

Crossrefs

Cf. A000538, A000330, A006331, A259108, A259109, A259317.

Sequence in context: A233645 A086985 A371251 * A231744 A262783 A182920

Adjacent sequences: A259315 A259316 A259317 * A259319 A259320 A259321

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 24 2015

Status

approved