A259321 a(n) = A259110(n)*A259323(n) - A259319(n)^2.

0, 2304, 290304, 6386688, 65235456, 424030464, 2038772736, 7894388736, 25960393728, 75123949824, 196144058880, 470584857600, 1051840857600, 2213790808320, 4424337967104, 8453141250048, 15525242320896, 27535076464896, 47338548401664, 79144486327296

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]

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

Formula

a(n) = (4096*n^10-15360*n^8+16128*n^6-5440*n^4+576*n^2)/525. - Colin Barker, Jun 29 2015

G.f.: -2304*x^2*(x+1)*(x^6+114*x^5+1327*x^4+3260*x^3+1327*x^2+114*x+1) / (x-1)^11. - Colin Barker, Jun 29 2015

Example

n=3: 290304 = 70*32710 - 1414^2.

Mathematica

LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {0, 2304, 290304, 6386688, 65235456, 424030464, 2038772736, 7894388736, 25960393728, 75123949824, 196144058880}, 30] (* Vincenzo Librandi, Jun 29 2015 *)

Prog

(PARI) concat(0, Vec(-2304*x^2*(x +1)*(x^6 +114*x^5 +1327*x^4 +3260*x^3 +1327*x^2 +114*x +1) / (x -1)^11 + O(x^100))) \\ Colin Barker, Jun 29 2015

Crossrefs

Cf. A259110, A259323, A259319.

Sequence in context: A236280 A187194 A170785 * A223302 A174558 A338617

Adjacent sequences: A259318 A259319 A259320 * A259322 A259323 A259324

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 24 2015

Status

approved