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A100495 Number of partitions of n such that multiplicities of parts are all relatively prime to n. +0
1
1, 1, 2, 2, 6, 4, 14, 9, 22, 17, 55, 20, 100, 50, 103, 84, 296, 76, 489, 161, 456, 296, 1254, 230, 1664, 637, 1732, 831, 4564, 459, 6841, 1885, 5254, 2605, 10945, 1628, 21636, 5003, 15298, 5051, 44582, 3133, 63260, 11978, 31309, 16973, 124753, 8800, 154507 (list; graph; listen)
OFFSET

1,3

FORMULA

Coefficient of x^n in expansion of Product_{k=1..n} (1+Sum_{d: gcd(n, d)=1} x^(d*k)).

CROSSREFS

Cf. A057562.

Adjacent sequences: A100492 A100493 A100494 this_sequence A100496 A100497 A100498

Sequence in context: A109043 A054585 A046203 this_sequence A056463 A005992 A067045

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 12 2005

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Feb 28 2008

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Last modified May 11 10:28 EDT 2008. Contains 139662 sequences.


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