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A048286
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Eigensequence of a sequence transformation.
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2
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1, 2, 10, 80, 874, 12092, 202384, 3973580, 89515690, 2275453700, 64418414380, 2009835207800, 68512342137040, 2533368817192280, 100991942945221660, 4317627768285138020, 197054129197204173610, 9562339765515442736180
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OFFSET
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0,2
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COMMENTS
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G.f. A(x) satisfies A(x)=(A(0)+A(x/(1-x)^2)(1+x)/(1-x))/2.
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LINKS
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FORMULA
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a(n) ~ c * 2^n * n^(n + 1/2 - log(2)/4) / (exp(n) * (log(2))^n), where c = 1.64631699329139900560839601704146775549945357007201882... . - Vaclav Kotesovec, Aug 08 2014
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PROG
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(PARI) a(n)=local(A); if(n<1, n==0, A=1; for(k=1, n, A=1+Pol(subst(A+x*O(x^k), x, x/(1-x)^2)*(1+x)/(1-x))-A); polcoeff(A, n))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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