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A078374 Number of partitions of n into distinct and relatively prime parts. 41
1, 0, 1, 1, 2, 2, 4, 4, 6, 7, 11, 10, 17, 17, 23, 26, 37, 36, 53, 53, 70, 77, 103, 103, 139, 147, 184, 199, 255, 260, 339, 358, 435, 474, 578, 611, 759, 810, 963, 1045, 1259, 1331, 1609, 1726, 2015, 2200, 2589, 2762, 3259, 3509, 4058, 4416, 5119, 5488, 6364, 6882 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..56.

N. J. A. Sloane, Transforms

FORMULA

Moebius transform of A000009.

G.f.: 1 + Sum_{n>=1} a(n)*x^n/(1 - x^n) = Product_{n>=1} (1 + x^n). - Ilya Gutkovskiy, Apr 26 2017

CROSSREFS

Cf. A000837, A047966.

Sequence in context: A122134 A035940 A067772 * A242984 A027590 A007212

Adjacent sequences:  A078371 A078372 A078373 * A078375 A078376 A078377

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Dec 24 2002

STATUS

approved

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Last modified January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)