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 A364987 E.g.f. satisfies A(x) = 1 + x*exp(x)*A(x)^4. 6
 1, 1, 10, 183, 5140, 196005, 9468486, 554425963, 38171336680, 3022130473065, 270537702834250, 27021535857472431, 2979254055371578524, 359411244032212931533, 47093111659782104431438, 6660135357832421444841555, 1011181346455643980818939856 (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(4*k+1,k)/( (4*k+1)*(n-k)! ) = n! * Sum_{k=0..n} k^(n-k) * A002293(k)/(n-k)!. PROG (PARI) a(n) = n!*sum(k=0, n, k^(n-k)*binomial(4*k, k)/((3*k+1)*(n-k)!)); CROSSREFS Cf. A006153, A295238, A364983. Cf. A002293, A349331. Sequence in context: A240405 A304936 A239764 * A179521 A211102 A121973 Adjacent sequences: A364984 A364985 A364986 * A364988 A364989 A364990 KEYWORD nonn AUTHOR Seiichi Manyama, Aug 15 2023 STATUS approved

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Last modified May 28 15:56 EDT 2024. Contains 372916 sequences. (Running on oeis4.)