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A199675
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E.g.f.: 1/(exp(-x) - Sum_{n>=0} (-x)^(3*n+2)/(3*n+2)!).
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1
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1, 1, 2, 7, 31, 170, 1129, 8737, 77198, 767683, 8482519, 103093958, 1366897597, 19633740673, 303706037546, 5033465370031, 88983532209967, 1671402633292562, 33241154368669921, 697834148797749601, 15420722865332961206, 357805114894717632331, 8697446048869287663271
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..22.
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FORMULA
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E.g.f.: A(x)=1/Q(0); Q(k)=1-x/((3*k+1)-(x^2)*(3*k+1)/((x^2)+3*(3*k+2)*(k+1)/Q(k+1)))) ; (continued fraction). - Sergei N. Gladkovskii, Nov 26 2011
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EXAMPLE
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E.g.f.: A(x) = 1 + x + 2*x^2/2! + 7*x^3/3! + 31*x^4/4! + 170*x^5/5! +...
where
A(x) = 1/(1 - x - x^3/3! + x^4/4! + x^6/6! - x^7/7! - x^9/9! + x^10/10! +...).
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PROG
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(PARI) {a(n)=n!*polcoeff(1/(exp(-x+x*O(x^n)) - sum(m=0, n\3, (-x)^(3*m+2)/(3*m+2)! )), n)}
(PARI) {a(n)=n!*polcoeff(1/(sum(m=0, n\3+1, (-x)^(3*m)/(3*m)! + (-x)^(3*m+1)/(3*m+1)! +x^2*O(x^n))), n)}
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CROSSREFS
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Cf. A049774, A199670.
Sequence in context: A105216 A193657 A005977 * A059037 A046907 A091312
Adjacent sequences: A199672 A199673 A199674 * A199676 A199677 A199678
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna, Nov 09 2011
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STATUS
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approved
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