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A074761 Number of partitions of n of order n. 1
1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 9, 1, 4, 5, 1, 1, 12, 1, 27, 7, 6, 1, 81, 1, 7, 1, 54, 1, 407, 1, 1, 11, 9, 13, 494, 1, 10, 13, 423, 1, 981, 1, 137, 115, 12, 1, 1309, 1, 59, 17, 193, 1, 240, 21, 1207, 19, 15, 1, 47274, 1, 16, 239, 1, 25, 3284, 1, 333, 23, 3731, 1, 42109, 1, 19 (list; graph; refs; listen; history; internal format)
OFFSET

1,6

COMMENTS

Order of partition is lcm of its parts.

FORMULA

Coefficient of x^n in expansion of Sum_{i divides n} mu(n/i)*1/Product_{j divides i} (1-x^j).

CROSSREFS

Cf. A018818, A074351, A074752.

Sequence in context: A123541 A090379 A077254 * A037861 A145037 A158052

Adjacent sequences:  A074758 A074759 A074760 * A074762 A074763 A074764

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 28 2002

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Last modified February 16 16:28 EST 2012. Contains 205938 sequences.