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A001144 An exponential function on partitions (next term is 2^512).
(Formerly M0593 N0214)
0
1, 2, 3, 4, 9, 27, 512, 134217728 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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 (FrankTAW(AT)Netscape.net), Apr 09 2010]

REFERENCES

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

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

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

FORMULA

For n >= 7, a(n) = 2^a(n-2). [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Apr 09 2010]

CROSSREFS

Cf. A000792, A014221. [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Apr 09 2010]

Sequence in context: A073915 A076381 A063455 * A121253 A014118 A007704

Adjacent sequences:  A001141 A001142 A001143 * A001145 A001146 A001147

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 12:41 EST 2012. Contains 205909 sequences.