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A115635
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Periodic {1,1,-5,0,1,-3,-1,0,-3,1,-1,-4}.
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1
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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; internal format)
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OFFSET
| 0,3
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COMMENTS
| Diagonal sums of number triangle A115633.
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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 (paoloplava(AT)gmail.com), Jun 11 2007
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CROSSREFS
| Sequence in context: A198927 A198100 A104112 * A019729 A117015 A174859
Adjacent sequences: A115632 A115633 A115634 * A115636 A115637 A115638
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KEYWORD
| easy,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 27 2006
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