A259860 a(n+8)+34*a(n+4)+a(n)=0 with a(0)-a(7) as shown.

1, 5, 12, 12, -29, -169, -408, -408, 985, 5741, 13860, 13860, -33461, -195025, -470832, -470832, 1136689, 6625109, 15994428, 15994428, -38613965, -225058681, -543339720, -543339720, 1311738121, 7645370045, 18457556052, 18457556052, -44560482149

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..1000

J. Riordan, The distribution of crossings of chords joining pairs of 2n points on a circle, Math. Comp., 29 (1975), 215-222.

J. Riordan, The distribution of crossings of chords joining pairs of 2n points on a circle, Math. Comp., 29 (1975), 215-222. [Annotated scanned copy]

Index entries for linear recurrences with constant coefficients, signature (4,-8,4,-1).

Formula

G.f.: (x+1) / (x^4-4*x^3+8*x^2-4*x+1). - Colin Barker, Jul 09 2015

Mathematica

LinearRecurrence[{4, -8, 4, -1}, {1, 5, 12, 12}, 40] (* Harvey P. Dale, Mar 14 2016 *)

Prog

(PARI) Vec((x+1)/(x^4-4*x^3+8*x^2-4*x+1) + O(x^50)) \\ Colin Barker, Jul 09 2015

Crossrefs

Cf. A259861.

Sequence in context: A195031 A265028 A259911 * A268035 A223255 A367573

Adjacent sequences: A259857 A259858 A259859 * A259861 A259862 A259863

Keyword

sign,easy

Author

N. J. A. Sloane, Jul 08 2015

Status

approved