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A275588 a(1) = 1; thereafter a(n) = (Sum_{k=1..n-1} a(k)) ^ Product_{k=1..n-1} a(k). 1
1, 1, 2, 16, 429496729600000000000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
a(6) is roughly 10^(5.72199*10^44).
LINKS
EXAMPLE
a(4) = (a(1) + a(2) + a(3)) ^ (a(1)*a(2)*a(3)) = (1 + 1 + 2)^(1*1*2) = 4^2 = 16.
MATHEMATICA
a[1] = 1; a[n_] := a[n] = Sum[a[k], {k, n - 1}]^Product[a[k], {k, n - 1}]; Table[a[n], {n, 0, 5}] (* Michael De Vlieger, Aug 04 2016 *)
PROG
(PARI) a(n) = if(n==1, 1, if(n>1, sum(k=1, n - 1, a(k)) ^ prod(k=1, n - 1, a(k))))
CROSSREFS
Cf. A275587.
Sequence in context: A325048 A068916 A093987 * A114560 A108883 A199295
KEYWORD
nonn
AUTHOR
Rick L. Shepherd, Aug 02 2016
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)