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 A168593 G.f.: exp( Sum_{n>=1} A132303(n)*x^n/n ), where A132303(n) = sum of the cubes of the trinomial coefficients in row n of triangle A027907. 3
 1, 3, 27, 349, 5484, 96408, 1824758, 36393090, 754696998, 16130052394, 353134333470, 7884110379006, 178908263232959, 4115917059924057, 95806493175049929, 2252809457441037107, 53443567449376649304 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Self-convolution cube-root yields the integer sequence A251686. LINKS Table of n, a(n) for n=0..16. EXAMPLE G.f.: A(x) = 1 + 3*x + 27*x^2 + 349*x^3 + 5484*x^4 + 96408*x^5 +... log(A(x)) = 3*x + 45*x^2/2 + 831*x^3/3 + 17181*x^4/4 + 375903*x^5/5 +...+ A132303(n)*x^n/n +... PROG (PARI) {A027907(n, k) = polcoeff((1+x+x^2)^n, k)} {A132303(n) = sum(k=0, 2*n, A027907(n, k)^3)} {a(n) = local(A); A = exp(sum(m=1, n+1, A132303(m)*x^m/m) +x*O(x^n)); polcoeff(A, n)} for(n=0, 30, print1(a(n), ", ")) CROSSREFS Cf. A168590, A168592, A132303, A027907, A251686. Sequence in context: A067000 A354658 A307650 * A364431 A328182 A372201 Adjacent sequences: A168590 A168591 A168592 * A168594 A168595 A168596 KEYWORD nonn AUTHOR Paul D. Hanna, Dec 01 2009 STATUS approved

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Last modified June 17 18:36 EDT 2024. Contains 373463 sequences. (Running on oeis4.)