The On-Line Encyclopedia of Integer Sequences (OEIS)

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A100495

Number of partitions of n such that multiplicities of parts are all relatively prime to n.
(history; published version)

#6 by Charles R Greathouse IV at Fri May 10 12:45:38 EDT 2013

AUTHOR

_Vladeta Jovovic (vladeta(AT)eunet.rs), _, Jan 12 2005

Discussion

Fri May 10

12:45

OEIS Server: https://oeis.org/edit/global/1911

#5 by Russ Cox at Fri Mar 30 17:38:04 EDT 2012

EXTENSIONS

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

Discussion

Fri Mar 30

17:38

OEIS Server: https://oeis.org/edit/global/184

#4 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

KEYWORD

easy,nonn,new

AUTHOR

Vladeta Jovovic (vladeta(AT)Euneteunet.yurs), Jan 12 2005

#3 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

DATA

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

KEYWORD

easy,more,nonn,new

EXTENSIONS

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

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

FORMULA

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

KEYWORD

easy,more,nonn,new

#1 by N. J. A. Sloane at Sun Feb 20 03:00:00 EST 2005

NAME

Number of partitions of n such that multiplicities of parts are all relatively prime to n.

DATA

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

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.

KEYWORD

easy,more,nonn

AUTHOR

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

STATUS

approved