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A115953 Periodic {1,-1,0,0,1,-2,1,0,0,-1,1,-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 (list; graph; refs; listen; history; text; internal format)
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))

a(n)=(1/792)*{ - 133*(n mod 12) + 131*[(n + 1) mod 12] - 133*[(n + 2) mod 12] + 65*[(n + 3) mod 12] - [(n + 4) mod 12] + 65*[(n + 5) mod 12] - 199*[(n + 6) mod 12] + 197*[(n + 7) mod 12] - 67*[(n + 8) mod 12] - [(n + 9) mod 12] - 67*[(n + 10) mod 12] + 131*[(n + 11) mod 12]}, with n>=0 - Paolo P. Lava, Jun 11 2007

CROSSREFS

Sequence in context: A082858 A255318 A249223 * A225245 A204770 A333382

Adjacent sequences:  A115950 A115951 A115952 * A115954 A115955 A115956

KEYWORD

easy,sign

AUTHOR

Paul Barry, Feb 02 2006

STATUS

approved

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Last modified July 28 00:54 EDT 2021. Contains 346316 sequences. (Running on oeis4.)