A137792 - OEIS

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A137792

Number of partitions of n into parts with no prime gaps in their factorization.

3

1, 2, 3, 5, 7, 11, 15, 22, 30, 41, 55, 75, 98, 129, 168, 218, 279, 358, 453, 573, 719, 899, 1118, 1389, 1712, 2106, 2581, 3152, 3835, 4657, 5632, 6797, 8177, 9813, 11746, 14033, 16715, 19873, 23575, 27910, 32972, 38886, 45765, 53770, 63062, 73833

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..46.

EXAMPLE

a(12) = A000041(12) - #{10+2, 10+1+1} = 77 - 2 = 75.

CROSSREFS

Cf. A073491, A000009, A000607, A023893, A137793, A137791.

Sequence in context: A212187 A332280 A035998 * A039905 A036009 A261776

Adjacent sequences: A137789 A137790 A137791 * A137793 A137794 A137795

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Feb 11 2008

STATUS

approved