A221959 Expansion of (2-17*x)/((1-4*x)*(1-6*x)*(1-8*x)*(1-10*x)*(1-16*x)).

2, 71, 1660, 32620, 586992, 10063536, 167802560, 2752629440, 44715480832, 722121976576, 11620069493760, 186576402754560, 2991722883510272, 47932118427938816, 767555606241525760, 12287275150992916480, 196659996591191949312, 3147193762284946784256, 50361421111809832386560, 805845807395237180211200, 12894162488881329394941952

Offset

0,1

Links

Harvey P. Dale, Table of n, a(n) for n = 0..829

Christian Brouder, William J. Keith, and Ângela Mestre, Several graph sequences as solutions of a double recurrence, arXiv preprint arXiv:1301.0874 [math.CO], 2013-2015.

Index entries for linear recurrences with constant coefficients, signature (44,-732,5776,-21632,30720).

Formula

G.f.: (2-17*x)/((1-4*x)*(1-6*x)*(1-8*x)*(1-10*x)*(1-16*x)).

a(n) = (1/2)*((64/3)*16^n +(27/2)*6^n -(250/12)*10^n -2*4^n -8*8^n) (see Brouder et al. paper, last row of the table on page 2).

Mathematica

LinearRecurrence[{44, -732, 5776, -21632, 30720}, {2, 71, 1660, 32620, 586992}, 30] (* Harvey P. Dale, Jul 16 2025 *)

Crossrefs

Sequence in context: A095935 A202813 A081368 * A221553 A071871 A055030

Adjacent sequences: A221956 A221957 A221958 * A221960 A221961 A221962

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 04 2013

Status

approved