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 A182963 G.f.: A(x) = exp( Sum_{n>=1} A183235(n)*x^n/n ) where A183235 is the sums of the cubes of multinomial coefficients. 2
 1, 1, 5, 86, 4052, 400401, 71827456, 21068995258, 9429303819612, 6105894632883407, 5493030296624140330, 6644655430011095138676, 10523095865317003368417750, 21337870239129956669159151372 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Conjectured to consist entirely of integers. LINKS Table of n, a(n) for n=0..13. FORMULA a(n) = (1/n)*Sum_{k=1..n} A183235(k)*a(n-k) for n>0 with a(0)=1. EXAMPLE G.f.: A(x) = 1 + x + 5*x^2 + 86*x^3 + 4052*x^4 + 400401*x^5 +... log(A(x)) = x + 9*x^2/2 + 244*x^3/3 + 15833*x^4/4 + 1980126*x^5/5 + 428447592*x^6/6 + 146966837193*x^7/7 +...+ A183235(n)*x^n/n +... PROG (PARI) {a(n)=polcoeff(exp(intformal(1/x*(-1+serlaplace(serlaplace(serlaplace(1/prod(k=1, n+1, 1-x^k/k!^3+O(x^(n+2))))))))), n)} CROSSREFS Cf. A183235, A183239, A183241. Sequence in context: A243075 A232489 A318219 * A220617 A231702 A069948 Adjacent sequences: A182960 A182961 A182962 * A182964 A182965 A182966 KEYWORD nonn AUTHOR Paul D. Hanna, Jan 04 2011 STATUS approved

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Last modified October 2 08:18 EDT 2023. Contains 365831 sequences. (Running on oeis4.)