A220888 a(n) = F(n+7) - (1/2)*(n^3+2*n^2+13*n+26) where F(i) is a Fibonacci number (A000045).

0, 0, 0, 0, 2, 11, 37, 98, 225, 470, 919, 1713, 3082, 5400, 9274, 15688, 26236, 43499, 71655, 117466, 191875, 312590, 508265, 825265, 1338612, 2169696, 3514932, 5692128, 9215510, 14917115, 24143209, 39072098, 63228357, 102314870, 165559099, 267891393, 433469566, 701381784, 1134874030

Offset

0,5

Links

Table of n, a(n) for n=0..38.

J. Freixas and S. Kurz, The golden number and Fibonacci sequences in the design of voting structures, 2012.

J. Freixas and S. Kurz, The golden number and Fibonacci sequences in the design of voting structures, arXiv:1401.8180 [math.CO], 2014.

Index entries for linear recurrences with constant coefficients, signature (5,-9,6,1,-3,1).

Formula

G.f.: -x^4*(2+x) / ( (x^2+x-1)*(x-1)^4 ). - R. J. Mathar, Jan 11 2013

a(n) = A014166(n-4)+2*A014166(n-3). - R. J. Mathar, Mar 24 2013

Mathematica

LinearRecurrence[{5, -9, 6, 1, -3, 1}, {0, 0, 0, 0, 2, 11}, 39] (* Jean-François Alcover, Feb 12 2019 *)

Crossrefs

Cf. A000045, A014166.

Sequence in context: A152819 A297406 A178138 * A289616 A038607 A079009

Adjacent sequences: A220885 A220886 A220887 * A220889 A220890 A220891

Keyword

nonn

Author

N. J. A. Sloane, Dec 29 2012

Status

approved