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A112345 Number of partitions of n into distinct perfect powers. 4
1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 3, 2, 1, 1, 3, 2, 1, 1, 3, 3, 1, 1, 3, 4, 1, 1, 4, 4, 1, 1, 4, 4, 2, 1, 4, 6, 2, 2, 4, 6, 2, 2, 4, 6, 3, 2, 5, 6, 4, 2, 6, 6, 4, 2, 6, 7, 4, 3, 6, 9, 4, 3, 7, 9, 5, 3, 7, 9, 6, 3, 7, 10, 6, 3, 8, 11, 6, 3, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,26

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Perfect Power

Eric Weisstein's World of Mathematics, Partition

FORMULA

G.f.: Product_{k>=2} (1 + x^A001597(k)). - Ilya Gutkovskiy, Mar 21 2017

EXAMPLE

a(40) = #{36+4, 32+8, 27+9+4} = 3.

CROSSREFS

Cf. A001597, A000009, A033461, A039966, A112344, A284171.

Sequence in context: A105243 A140081 A280596 * A265262 A124763 A029372

Adjacent sequences:  A112342 A112343 A112344 * A112346 A112347 A112348

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Sep 05 2005

EXTENSIONS

a(0)=1 prepended by Ilya Gutkovskiy, Mar 21 2017

STATUS

approved

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Last modified June 1 02:09 EDT 2020. Contains 334758 sequences. (Running on oeis4.)