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Revision History for A001144

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Showing entries 1-10 | older changes
An exponential function on partitions (next term is 2^512).
(history; published version)
#23 by Jon E. Schoenfield at Wed Feb 02 00:06:49 EST 2022
STATUS

editing

approved

#22 by Jon E. Schoenfield at Wed Feb 02 00:06:48 EST 2022
AUTHOR
STATUS

approved

editing

#21 by Bruno Berselli at Thu Jul 05 09:19:03 EDT 2018
STATUS

proposed

approved

#20 by Michel Marcus at Thu Jul 05 09:13:08 EDT 2018
STATUS

editing

proposed

#19 by Michel Marcus at Thu Jul 05 09:12:57 EDT 2018
REFERENCES

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

LINKS

S. W. Golomb and Judith Richman, <a href="https://www.jstor.org/stable/2317895">Problem E2118</a>, Amer. Math. Monthly, 76 (1969), 830-831.

STATUS

approved

editing

#18 by Alois P. Heinz at Wed Jun 14 15:48:35 EDT 2017
STATUS

editing

approved

#17 by Alois P. Heinz at Wed Jun 14 15:48:30 EDT 2017
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_, Apr 09 2010]

FORMULA

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

CROSSREFS

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

STATUS

proposed

editing

#16 by Rick L. Shepherd at Wed Jun 14 15:31:28 EDT 2017
STATUS

editing

proposed

#15 by Rick L. Shepherd at Wed Jun 14 15:30:58 EDT 2017
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, Apr 09 2010]

#14 by Rick L. Shepherd at Wed Jun 14 15:30:07 EDT 2017
COMMENTS

Equivalently, largest number that can be expressed using the constant 1 exactly n times with only addition and exponentiation -- no concatenation of digits is allowed. (Comment to facilitate searching.) - Rick L. Shepherd, Jun 14 2017

STATUS

approved

editing