A306248 Smallest m for which 2n is not m-powerful (for the definition of k-powerful see A323395).
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
Offset: 1
Examples
The bipartition {1,4}, {2,3} of {1,2,3,4} has equal first power-sums. But there is no such bipartition with equal power-sums for exponents 0, 1, and 2. Therefore a(2) = 2.
Links
- S. Golan, Equal moments division of a set, Math. Comp. 77 (2008) 1695-1712.
- Stan Wagon, Data for n up to 128, updated Sep 29 2019.
Extensions
a(56) corrected by Stan Wagon, May 06 2019
a(72) corrected by Stan Wagon, May 24 2019
Comments