A115953 Periodic {1,-1,0,0,1,-2,1,0,0,-1,1,-1}.

1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1

Offset

0,6

Comments

Diagonal sums of number triangle A115952.

Links

Table of n, a(n) for n=0..71.

Index entries for linear recurrences with constant coefficients, signature (-1,-1,0,1,1,1)

Formula

G.f.: (1-x^3-x^5)/((1-x^3)(1+x+x^2+x^3))

Mathematica

LinearRecurrence[{-1, -1, 0, 1, 1, 1}, {1, -1, 0, 0, 1, -2}, 80] (* or *) PadRight[{}, 80, {1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1}] (* Harvey P. Dale, Jan 28 2023 *)

Crossrefs

Sequence in context: A363164 A255318 A249223 * A225245 A204770 A333382

Adjacent sequences: A115950 A115951 A115952 * A115954 A115955 A115956

Keyword

easy,sign

Author

Paul Barry, Feb 02 2006

Status

approved