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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

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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)).

E.g.f.: (4*cosh(x) - 3*sin(x) - 5*sinh(x) + 2*exp(-x/2) * (cos(sqrt(3)*x/2) + sqrt(3)*sin(sqrt(3)*x/2)))/6. - Amiram Eldar, Jan 22 2026

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

Cf. A115952.

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

URL: https://oeis.org/A115953

⇱ A115953 - OEIS