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A115635 Periodic {1,1,-5,0,1,-3,-1,0,-3,1,-1,-4}. 1
1, 1, -5, 0, 1, -3, -1, 0, -3, 1, -1, -4, 1, 1, -5, 0, 1, -3, -1, 0, -3, 1, -1, -4, 1, 1, -5, 0, 1, -3, -1, 0, -3, 1, -1, -4, 1, 1, -5, 0, 1, -3, -1, 0, -3, 1, -1, -4, 1, 1, -5, 0, 1, -3, -1, 0, -3, 1, -1, -4, 1, 1, -5, 0, 1, -3, -1, 0, -3, 1, -1, -4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Diagonal sums of number triangle A115633.

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+2x-3x^2-4x^3-5x^4-4x^5)/((1-x^3)*(1+x+x^2+x^3)); a(n)=sum{k=0..floor(n/2), A115633(n-k, k)}.

a(n)=(1/792)*{ - 343*(n mod 12) + 185*[(n + 1) mod 12] + 119*[(n + 2) mod 12] - 277*[(n + 3) mod 12] + 185*[(n + 4) mod 12] - 79*[(n + 5) mod 12] - 145*[(n + 6) mod 12] + 251*[(n + 7) mod 12] - 79*[(n + 8) mod 12] - 343*[(n + 9) mod 12] + 383*[(n + 10) mod 12] - 13*[(n + 11) mod 12]}, with n>=0. - Paolo P. Lava, Jun 11 2007

CROSSREFS

Sequence in context: A198927 A198100 A104112 * A019729 A261851 A117015

Adjacent sequences:  A115632 A115633 A115634 * A115636 A115637 A115638

KEYWORD

easy,sign

AUTHOR

Paul Barry, Jan 27 2006

STATUS

approved

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Last modified October 22 00:52 EDT 2019. Contains 328315 sequences. (Running on oeis4.)