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Search: id:A138293
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| A138293 |
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E.g.f. satisfies: A(x) = x + exp(x*A(x)). |
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+0
1
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| 1, 2, 5, 28, 245, 2816, 40537, 702976, 14270153, 332102656, 8719631981, 255020847104, 8222803663549, 289815184113664, 11085650268060929, 457386463819595776, 20248713707077863953, 957435459515190345728
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = n!*Sum_{k=0..floor((n+1)/2)} (n-2*k+1)^(n-k)/(k!*(n-2*k+1)!). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 15 2008
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EXAMPLE
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E.g.f: A(x) = 1 + 2*x + 5/2*x^2 + 14/3*x^3 + 245/24*x^4 + 352/15*x^5 +...
Log(A(x)-x) = x + 2*x^2 + 5/2*x^3 + 14/3*x^4 + 245/24*x^5 + 352/15*x^6 +...
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PROGRAM
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(PARI) {a(n)=local(A=1); for(i=0, n, A=x+exp(x*A+x*O(x^n))); n!*polcoeff(A, n)}
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CROSSREFS
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Sequence in context: A072371 A019043 A009635 this_sequence A068069 A105787 A110497
Adjacent sequences: A138290 A138291 A138292 this_sequence A138294 A138295 A138296
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Mar 13 2008
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