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Search: id:A117199
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| A117199 |
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Expansion of 1/(1-x^2)+x/(1-x^3)+x^2/(1-x^4). |
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+0
2
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| 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Periodic {1,1,2,0,2,0,2,1,1,0,3,0}. Diagonal sums of A117198.
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FORMULA
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G.f.: (1+2x+4x^2+3x^3+3x^4)/(1+x+x^2-x^4-x^5-x^6)
a(n)=(1/792)*{ - 53*[n mod 12] + 211*[(n + 1) mod 12] - 185*[(n + 2) mod 12] + 79*[(n + 3) mod 12] + 13*[(n + 4) mod 12] + 79*[(n + 5) mod 12] - 119*[(n + 6) mod 12] + 145*[(n + 7) mod 12] - 119*[(n + 8) mod 12] + 145*[(n + 9) mod 12] - 53*[(n + 10) mod 12] + 13*[(n + 11) mod 12]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Jun 01 2007
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MATHEMATICA
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CoefficientList[ Series[1/(1 - x^2) + x/(1 - x^3) + x^2/(1 - x^4), {x, 0, 105}], x] (from Robert G. Wilson v (rgwv(at)rgwv.com), Mar 14 2006)
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CROSSREFS
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Sequence in context: A096577 A137899 A026613 this_sequence A052511 A054533 A143232
Adjacent sequences: A117196 A117197 A117198 this_sequence A117200 A117201 A117202
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 02 2006
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Mar 14 2006
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