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A112345 Number of partitions of n into distinct perfect powers. +0
2
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; listen)
OFFSET

1,25

LINKS

Eric Weisstein's World of Mathematics, Perfect Power

Eric Weisstein's World of Mathematics, Partition

EXAMPLE

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

CROSSREFS

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

Sequence in context: A062984 A105243 A140081 this_sequence A124763 A029372 A029377

Adjacent sequences: A112342 A112343 A112344 this_sequence A112346 A112347 A112348

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 05 2005

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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