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Revision History for A237258

(Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A237258 Number of strict partitions of 2n that include a partition of n.
(history; published version)
#28 by Michael De Vlieger at Thu Oct 27 18:02:48 EDT 2022
STATUS

proposed

approved

#27 by Gus Wiseman at Thu Oct 27 16:55:07 EDT 2022
STATUS

editing

proposed

#26 by Gus Wiseman at Thu Oct 27 16:53:49 EDT 2022
CROSSREFS

Cf. A006827, A027187, A056239, A063834, A064914, A108917, A276107, A300061, A357879.

#25 by Gus Wiseman at Thu Oct 27 16:46:46 EDT 2022
EXAMPLE

From Gus Wiseman, Oct 27 2022: (Start)

The a(3) = 1 through a(9) = 16 partitions:

(321) (431) (532) (642) (743) (853) (954)

(541) (651) (752) (862) (963)

(4321) (5421) (761) (871) (972)

(6321) (5432) (6532) (981)

(6431) (7531) (6543)

(6521) (7621) (7542)

(7421) (8431) (7632)

(8521) (8541)

(64321) (8631)

(8721)

(9432)

(9531)

(9621)

(65421)

(75321)

(84321)

(End)

CROSSREFS

A027187 counts partitions of even length.

A056239 adds up prime indices, row sums of A112798.

Cf. A006827, A027187, A056239, A063834, A064914, A108917, `A122768, A235130, A237194, A276107, A300061, `~A304793, ~`A321144, A357879.

#24 by Gus Wiseman at Thu Oct 27 16:42:54 EDT 2022
EXAMPLE

From Gus Wiseman, Oct 27 2022: (Start)

The a(3) = 1 through a(9) = 16 partitions:

(321) (431) (532) (642) (743) (853) (954)

(541) (651) (752) (862) (963)

(4321) (5421) (761) (871) (972)

(6321) (5432) (6532) (981)

(6431) (7531) (6543)

(6521) (7621) (7542)

(7421) (8431) (7632)

(8521) (8541)

(64321) (8631)

(8721)

(9432)

(9531)

(9621)

(65421)

(75321)

(84321)

(End)

CROSSREFS

The non-strict version is A002219, ranked by A357976.

These partitions are ranked by A357854.

A000712 counts distinct submultisets of partitions, strict A032302.

A027187 counts partitions of even length.

A056239 adds up prime indices, row sums of A112798.

A304792 counts subset-sums of partitions, positive A276024, strict A284640.

Cf. A006827, A063834, A064914, A108917, `A122768, A235130, A237194, A276107, A300061, `~A304793, ~`A321144, A357879.

STATUS

approved

editing

#23 by Joerg Arndt at Tue Jan 25 04:20:52 EST 2022
STATUS

reviewed

approved

#22 by Michel Marcus at Tue Jan 25 03:02:47 EST 2022
STATUS

proposed

reviewed

#21 by Fausto A. C. Cariboni at Tue Jan 25 02:53:18 EST 2022
STATUS

editing

proposed

#20 by Fausto A. C. Cariboni at Tue Jan 25 02:52:57 EST 2022
LINKS

Fausto A. C. Cariboni, <a href="/A237258/b237258.txt">Table of n, a(n) for n = 0..200</a>

STATUS

approved

editing

#19 by Bruno Berselli at Fri Feb 07 18:02:02 EST 2014
STATUS

proposed

approved

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Last modified September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)