A200729 - OEIS

Draft edits for A200729

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A200729

Smallest nontrivial positive power x such that the number of even powers (i.e., even base) not exceeding x exceeds by n the number of odd powers not exceeding x.
(history; published version)

Individual edits:

#23 by Max Alekseyev at Tue Jul 21 21:58:08 EDT 2026

DATA

4, 8, 216, 2116, 551368, 47444544, 17649109134656

EXTENSIONS

STATUS

approved

All edits since published version (omitting small deletions for readability):

NAME

Smallest nontrivial positive power x such that the number of even powers (i.e., even base) not exceeding x exceeds by n the number of odd powers not exceeding x.

DATA

4, 8, 216, 2116, 551368, 47444544, 17649109134656

OFFSET

0,1

COMMENTS

A nontrivial power is a^b where a,b are integers and b>1.

EXAMPLE

a(2)=216 because there are 11 even powers not larger than 216 and 9 odd powers not larger than 216, and 9 - 7 = 2.

CROSSREFS

Cf. A200730.

KEYWORD

nonn,more

AUTHOR

Graeme McRae, Nov 21 2011

EXTENSIONS

STATUS

approved