

A306248


Smallest m for which 2n is not mpowerful (for the definition of kpowerful see A323395).


1



1, 2, 1, 3, 1, 3, 1, 4, 1, 3, 1, 4, 1, 3, 1, 5, 1, 3, 1, 5, 1, 3, 1, 6, 1, 3, 1, 5, 1, 3, 1, 6, 1, 3, 1, 6, 1, 3, 1, 6, 1, 3, 1, 6, 1, 3, 1, 7, 1, 3, 1, 6, 1, 3, 1, 7, 1, 3, 1, 6, 1, 3, 1, 7, 1, 3, 1, 6, 1, 3, 1, 8, 1, 3, 1, 6, 1, 3, 1, 7, 1, 3, 1, 6, 1, 3, 1, 7, 1, 3, 1, 6, 1, 3, 1
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OFFSET

1,2


COMMENTS

This function is known as m*(2n). For odd n all values of m*(n) are 0.


LINKS

Table of n, a(n) for n=1..95.
S. Golan, Equal moments division of a set, Math. Comp. 77 (2008) 16951712.
Stan Wagon, Data for n up to 128, updated Sep 29 2019.


EXAMPLE

The bipartition {1,4}, {2,3} of {1,2,3,4} has equal first powersums. But there is no such bipartition with equal powersums for exponents 0, 1, and 2. Therefore a(2) = 2.


CROSSREFS

Cf. A323395, A323610, A323629, A323614.
Sequence in context: A135732 A322584 A326154 * A327513 A327530 A084360
Adjacent sequences: A306245 A306246 A306247 * A306249 A306250 A306251


KEYWORD

nonn,hard,more


AUTHOR

Stan Wagon, Jan 31 2019


EXTENSIONS

a(56) corrected by Stan Wagon, May 06 2019
a(72) corrected by Stan Wagon, May 24 2019


STATUS

approved



