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A033178 Number of multisets of n positive integers with equal sum and product. +0
5
1, 1, 1, 3, 1, 2, 2, 2, 2, 3, 2, 4, 2, 2, 2, 4, 2, 4, 2, 4, 2, 4, 1, 5, 4, 3, 3, 5, 2, 4, 3, 5, 2, 3, 2, 6, 3, 3, 4, 7, 2, 5, 2, 4, 4, 5, 2, 5, 4, 4, 3, 7, 2, 5, 4, 5, 4, 4, 2, 9, 3, 4, 4, 7, 2, 5, 5, 4, 3, 6, 3, 9, 4, 3, 3, 6, 3, 5, 2, 7, 4, 5, 2, 10, 5, 4, 5, 8, 2, 6, 3, 6, 3, 6, 5, 6, 5, 4, 5, 8, 3, 6, 3, 5 (list; graph; listen)
OFFSET

2,4

COMMENT

The multiset {n^1, 2^1, 1^(n-2)} has n elements and sum = product = 2n. Hence a(n) >= 1.

REFERENCES

R. K. Guy, 'Unsolved Problems in Number Theory' (Section D24).

CROSSREFS

Cf. A033179.

Sequence in context: A115310 A139381 A038575 this_sequence A029418 A085247 A003016

Adjacent sequences: A033175 A033176 A033177 this_sequence A033179 A033180 A033181

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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