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A115714
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Periodic {1,-1,-3,0,1,-5,1,0,-3,-1,1,-4}.
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1
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1, -1, -3, 0, 1, -5, 1, 0, -3, -1, 1, -4, 1, -1, -3, 0, 1, -5, 1, 0, -3, -1, 1, -4, 1, -1, -3, 0, 1, -5, 1, 0, -3, -1, 1, -4, 1, -1, -3, 0, 1, -5, 1, 0, -3, -1, 1, -4, 1, -1, -3, 0, 1, -5, 1, 0, -3, -1, 1, -4, 1, -1, -3, 0, 1, -5, 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 A115713.
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FORMULA
| G.f.: (1-3x^2+4x^3+3x^4+4x^5)/(1+x+x^2-x^4-x^5-x^6); a(n)=sum{k=0..floor(n/2), A115713(n-k, k)}.
a(n)=(1/792)*{ - 343*(n mod 12) + 317*[(n + 1) mod 12] - 145*[(n + 2) mod 12] - 145*[(n + 3) mod 12] + 185*[(n + 4) mod 12] + 53*[(n + 5) mod 12] - 409*[(n + 6) mod 12] + 383*[(n + 7) mod 12] - 79*[(n + 8) mod 12] - 211*[(n + 9) mod 12] + 119*[(n + 10) mod 12] + 119*[(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: A191532 A179552 A119879 * A020768 A104544 A123880
Adjacent sequences: A115711 A115712 A115713 * A115715 A115716 A115717
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KEYWORD
| easy,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 29 2006
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