A114372 - OEIS

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A114372

Number of partitions of n into parts with an odd number of prime factors that are all distinct.

0

0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 10, 12, 14, 17, 19, 23, 26, 30, 35, 40, 46, 52, 60, 67, 77, 87, 99, 111, 125, 141, 158, 177, 199, 222, 247, 276, 307, 342, 380, 422, 467, 517, 572, 633, 698, 770, 848, 933, 1027, 1129, 1239, 1359, 1490, 1631, 1786, 1954, 2136, 2332

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OFFSET

1,5

COMMENTS

a(n) = A000607(n) for n<30=2*3*5, but a(30) = 99 = A000607(30)+1.

LINKS

Table of n, a(n) for n=1..61.

CROSSREFS

Cf. A030059, A073576.

Sequence in context: A140953 A112021 A000607 * A046676 A003114 A185227

Adjacent sequences: A114369 A114370 A114371 * A114373 A114374 A114375

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Feb 09 2006

STATUS

approved