The On-Line Encyclopedia of Integer Sequences (OEIS)

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A166247

Number of perfect partitions of n-1 plus sum of remainders of n mod k, for k=1,2,3,..,n.
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:52:34 EDT 2012

AUTHOR

_Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), _, Oct 10 2009

Discussion

Fri Mar 30

18:52

OEIS Server: https://oeis.org/edit/global/257

#2 by Russ Cox at Fri Mar 30 17:40:10 EDT 2012

EXTENSIONS

Indices in definition and formula corrected by _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 21 2010

Discussion

Fri Mar 30

17:40

OEIS Server: https://oeis.org/edit/global/190

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

NAME

Number of perfect partitions of n-1 plus sum of remainders of n mod k, for k=1,2,3,..,n.

DATA

1, 1, 2, 3, 5, 6, 9, 12, 14, 16, 23, 25, 29, 34, 39, 44, 52, 55, 65, 69, 73, 80, 99, 105, 105, 115, 129, 132, 152, 151, 168, 183, 187, 200, 221, 224, 234, 251, 272, 278, 298, 297, 326, 336, 347, 361, 404, 422, 416, 428, 452, 462, 506, 512, 532, 540, 556, 581, 636

OFFSET

1,3

FORMULA

a(n)=A002033(n-1)+A004125(n).

CROSSREFS

Cf. A002033, A004125.

KEYWORD

nonn,less,new

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 10 2009

EXTENSIONS

Indices in definition and formula corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 21 2010

STATUS

approved