A137793 - OEIS

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A137793

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

5

1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 11, 14, 16, 19, 23, 27, 31, 38, 43, 50, 58, 66, 76, 88, 100, 113, 130, 146, 165, 188, 211, 237, 267, 298, 334, 375, 417, 464, 517, 573, 636, 706, 781, 862, 954, 1050, 1157, 1276, 1401, 1539, 1689, 1851, 2027, 2222, 2427

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

a(16)=A000009(16)-#{14+2,10+6,10+5+1,10+4+2,10+3+2+1}=32-5=27.

CROSSREFS

Cf. A073491, A000041, A000586, A106244, A137792, A137791.

Sequence in context: A027197 A363221 A332577 * A067659 A261772 A153156

Adjacent sequences: A137790 A137791 A137792 * A137794 A137795 A137796

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Feb 11 2008

STATUS

approved