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 A051675 "Second factorials": Product_{k=1..n} k^(k^2). 16
 1, 16, 314928, 1352605460594688, 403107840000000000000000000000000, 4157825501361955044460594652554199040000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES Spyros G. Kanellos: Mathematical Researches and Results [in Greek]. Athens, 1965. LINKS G. C. Greubel, Table of n, a(n) for n = 1..13 FORMULA a(n) ~ n^(n*(n+1)*(2n+1)/6) / exp(n^3/9 - n/12 - Zeta(3)/(4*Pi^2)), where Zeta(3) = A002117 = 1.2020569031595942853997... . - Vaclav Kotesovec, Feb 20 2015 MAPLE A051675 := proc(n) local k; mul(k^(k^2), k=1..n); end; MATHEMATICA Table[Product[k^(k^2), {k, 1, n}], {n, 1, 10}] (* Vaclav Kotesovec, Feb 20 2015 *) PROG (PARI) for(n=1, 10, print1(prod(k=1, n, k^(k^2)), ", ")) \\ G. C. Greubel, Oct 14 2018 (MAGMA) [(&*[k^(k^2): k in [1..n]]): n in [1..10]]; // G. C. Greubel, Oct 14 2018 CROSSREFS Cf. A002109, A255321, A255323, A255344. Cf. A243262. Sequence in context: A298202 A300197 A297386 * A288951 A175988 A013804 Adjacent sequences:  A051672 A051673 A051674 * A051676 A051677 A051678 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified December 10 00:30 EST 2018. Contains 318032 sequences. (Running on oeis4.)