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 A365177 E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)^3). 3
 1, 1, 10, 201, 6220, 261465, 13925286, 898994383, 68240292856, 5956670911041, 587896878021130, 64738492669538391, 7869297152389747284, 1046629627952327990545, 151192146681811716344878, 23573456446401808474471455, 3945806733850334447131941616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..16. FORMULA a(n) = n! * Sum_{k=0..n} k^(n-k) * binomial(3*n+k+1,k)/( (3*n+k+1)*(n-k)! ). PROG (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(3*n+k+1, k)/((3*n+k+1)*(n-k)!)); CROSSREFS Cf. A364987, A364989, A365175, A365176. Sequence in context: A210168 A041180 A367200 * A027014 A088746 A293970 Adjacent sequences: A365174 A365175 A365176 * A365178 A365179 A365180 KEYWORD nonn AUTHOR Seiichi Manyama, Aug 25 2023 STATUS approved

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Last modified February 26 06:43 EST 2024. Contains 370335 sequences. (Running on oeis4.)