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 A136553 G.f.: A(x) = Sum_{n>=0} log( Sum_{k>=0} (k+1)^n*x^k )^n / n!. 2
 1, 2, 9, 90, 2577, 248236, 84052116, 100270156156, 421825834327399, 6296015371464642774, 336474161890278633077823, 65028162589779857302801760924, 45874159173058581016227457835479612 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE G.f.: A(x) = 1 + 2*x + 9*x^2 + 90*x^3 + 2577*x^4 + 248236*x^5 +...; A(x) = Sum_{n>=0} log(1 + 2^n*x + 3^n*x^2 + 4^n*x^3 +...)^n / n! ; surprisingly, this sum yields a series in x with integer coefficients. PROG (PARI) {a(n)=polcoeff(sum(i=0, n, log(sum(k=0, n, (k+1)^i*x^k)+x*O(x^n))^i/i!), n)} CROSSREFS Cf. A136552. Sequence in context: A012941 A216691 A059477 * A266293 A224323 A240650 Adjacent sequences:  A136550 A136551 A136552 * A136554 A136555 A136556 KEYWORD nonn AUTHOR Paul D. Hanna, Jan 05 2008 STATUS approved

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Last modified September 23 12:30 EDT 2020. Contains 337310 sequences. (Running on oeis4.)