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 A343263 a(0) = 1; a(n+1) = exp(-a(n)) * Sum_{k>=0} a(n)^k * k^n / k!. 0
 1, 1, 1, 2, 22, 301554, 2493675105669492542968967478 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS The next term is too large to include. LINKS Table of n, a(n) for n=0..6. FORMULA a(0) = 1; a(n+1) = n! * [x^n] exp(a(n) * (exp(x) - 1)). a(0) = 1; a(n+1) = Sum_{k=0..n} Stirling2(n,k) * a(n)^k. MATHEMATICA a[0] = 1; a[n_] := a[n] = Sum[StirlingS2[n - 1, k] a[n - 1]^k, {k, 0, n - 1}]; Table[a[n], {n, 0, 6}] a[0] = 1; a[n_] := a[n] = BellB[n - 1, a[n - 1]]; Table[a[n], {n, 0, 6}] CROSSREFS Cf. A000110, A003659, A067691, A110386, A189233, A242817, A292860, A294373. Sequence in context: A246852 A060601 A053952 * A261198 A052077 A124604 Adjacent sequences: A343260 A343261 A343262 * A343264 A343265 A343266 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Apr 09 2021 STATUS approved

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)