The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A027339 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A027339

Number of partitions of n that do not contain 5 as a part.
(history; published version)

#14 by Harvey P. Dale at Wed Jul 11 12:52:01 EDT 2018

STATUS

editing

approved

#13 by Harvey P. Dale at Wed Jul 11 12:51:57 EDT 2018

MATHEMATICA

Table[Count[IntegerPartitions[n], _?(FreeQ[#, 5]&)], {n, 0, 50}] (* Harvey P. Dale, Jul 11 2018 *)

STATUS

approved

editing

#12 by Vaclav Kotesovec at Fri Nov 04 12:02:59 EDT 2016

STATUS

editing

approved

#11 by Vaclav Kotesovec at Fri Nov 04 12:02:55 EDT 2016

FORMULA

a(n) = A000041(n)-A000041(n-5).

CROSSREFS

Column 5 of A175788.

#10 by Vaclav Kotesovec at Fri Nov 04 11:59:38 EDT 2016

FORMULA

a(n)=A000041(n)-A000041(n-5).

CROSSREFS

a(n)=A000041(n)-A000041(n-5).

#9 by Vaclav Kotesovec at Fri Nov 04 11:50:09 EDT 2016

FORMULA

a(n) ~ 5*Pi * exp(sqrt(2*n/3)*Pi) / (12*sqrt(2)*n^(3/2)) * (1 - (3*sqrt(3/2)/Pi + Pi/(24*sqrt(6)) + 5*Pi/(2*sqrt(6)))/sqrt(n) + (61/8 + 9/(2*Pi^2) + 4921*Pi^2/6912)/n). - Vaclav Kotesovec, Nov 04 2016

STATUS

approved

editing

#8 by Russ Cox at Fri Mar 30 18:56:15 EDT 2012

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

Clark Kimberling

Discussion

Fri Mar 30

18:56

OEIS Server: https://oeis.org/edit/global/285

#7 by Russ Cox at Fri Mar 30 18:38:38 EDT 2012

EXTENSIONS

More terms from _Benoit Cloitre (benoit7848c(AT)orange.fr), _, Dec 10 2002

Discussion

Fri Mar 30

18:38

OEIS Server: https://oeis.org/edit/global/216

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

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), Dec 10 2002

#5 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005

KEYWORD

nonn,new

nonn

EXTENSIONS

More terms from Benoit Cloitre (abcloitreabmt(AT)modulonetwanadoo.fr), Dec 10 2002