The On-Line Encyclopedia of Integer Sequences (OEIS)

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A035387

Number of partitions of n into parts 6k+3 or 6k+4.
(history; published version)

#8 by Vaclav Kotesovec at Thu Aug 27 06:06:46 EDT 2015

STATUS

editing

approved

#7 by Vaclav Kotesovec at Thu Aug 27 06:06:42 EDT 2015

FORMULA

a(n) ~ exp(Pi*sqrt(2*n)/3) * Gamma(2/3) / (4 * 2^(1/6) * sqrt(3) * Pi^(1/3) * n^(5/6)). - Vaclav Kotesovec, Aug 27 2015

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(6k+3))*(1 - x^(6k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)

STATUS

approved

editing

#6 by Russ Cox at Fri Mar 30 17:20:47 EDT 2012

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

Olivier Gérard

Discussion

Fri Mar 30

17:20

OEIS Server: https://oeis.org/edit/global/117

#5 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

Olivier Gerard (ogerardolivier.gerard(AT)ext.jussieugmail.frcom)

#4 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

Number of partitions of n into parts 6k+3 or 6k+4.

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

NAME

Partitions Number of partitions into parts 6k+3 or 6k+4.

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

KEYWORD

nonn,part,new

nonn

AUTHOR

Olivier Gerard (ogerard@(AT)ext.jussieu.fr)

#1 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

Partitions into parts 6k+3 or 6k+4.

DATA

0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 3, 3, 2, 4, 5, 3, 6, 7, 6, 8, 10, 8, 12, 14, 12, 16, 20, 17, 23, 27, 25, 30, 37, 34, 42, 49, 47, 55, 67, 63, 74, 87, 86, 97, 115, 113, 129, 149, 150, 166, 195, 195, 217, 249, 255, 278, 321, 327, 359, 407, 421, 456, 520, 535, 581, 654, 682

OFFSET

1,9

KEYWORD

nonn,part

AUTHOR

Olivier Gerard (ogerard@ext.jussieu.fr)

STATUS

approved