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A159320 G.f.: A(x) = exp( Sum_{n>=1} (1 + C(2n-1,n-1)*x)^n * x^n/n ). 1
1, 1, 2, 5, 20, 158, 2474, 77743, 4991796, 594667388, 146257399827, 66417454104711, 61463521228604767, 107733377143686790760, 375280556077116698219547, 2553688433304747933172133639 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
EXAMPLE
G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 20*x^4 + 158*x^5 + 2474*x^6 +...
log(A(x)) = (1+x)*x + (1+3*x)^2*x^2/2 + (1+10*x)^3*x^3/3 + (1+35*x)^4*x^4/4 +...
log(A(x)) = x + 3*x^2/2 + 10*x^3/3 + 59*x^4/4 + 676*x^5/5 + 13782*x^6/6 +...
PROG
(PARI) {a(n)=polcoeff(exp(sum(m=1, n+1, (1+binomial(2*m-1, m-1)*x+x*O(x^n))^m*x^m/m)), n)}
CROSSREFS
Cf. A159321 (log), A001700, A158872 (variant).
Sequence in context: A136650 A229662 A111885 * A184730 A181076 A156871
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 15 2009
STATUS
approved

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Last modified March 2 10:43 EST 2024. Contains 370466 sequences. (Running on oeis4.)