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A001144 An exponential function on partitions (next term is 2^512).
(Formerly M0593 N0214)
0

%I M0593 N0214

%S 1,2,3,4,9,27,512,134217728

%N An exponential function on partitions (next term is 2^512).

%C Largest number that can be expressed in the form a_1 ^ a_2 ^ ... ^a_k, where a_1 + a_2 + ... + a_k = n. [From _Franklin T. Adams-Watters_, Apr 09 2010]

%D Problem E2118, Amer. Math. Monthly, 76 (1969), 830-831.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%F For n >= 7, a(n) = 2^a(n-2). [From _Franklin T. Adams-Watters_, Apr 09 2010]

%Y Cf. A000792, A014221. [From _Franklin T. Adams-Watters_, Apr 09 2010]

%K nonn

%O 1,2

%A _N. J. A. Sloane_.

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Last modified May 19 17:43 EDT 2013. Contains 225436 sequences.