login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A237258 Number of strict partitions of 2n that include a partition of n. 2
1, 0, 0, 1, 1, 3, 4, 7, 9, 16, 21, 32, 43, 63, 84, 122, 158, 220, 293, 393, 511, 685, 881, 1156, 1485, 1925, 2445, 3147, 3952, 5019, 6323, 7924, 9862, 12336, 15259, 18900, 23294, 28646, 35091, 42985, 52341, 63694, 77336, 93588, 112973, 136367, 163874, 196638 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

A strict partition is a partition into distinct parts.

LINKS

Table of n, a(n) for n=0..47.

FORMULA

a(n) = A237194(2n,n).

EXAMPLE

a(5) counts these partitions of 10: [5,4,1], [5,3,2], [4,3,2,1].

MATHEMATICA

z = 24; Table[theTotals = Map[{#, Map[Total, Subsets[#]]} &,  Select[IntegerPartitions[2 nn], # == DeleteDuplicates[#] &]]; Length[Map[#[[1]] &, Select[theTotals, Length[Position[#[[2]], nn]] >= 1 &]]], {nn, z}] (* Peter J. C. Moses, Feb 04 2014 *)

CROSSREFS

Cf. A000009, A237194, A235130.

Sequence in context: A169898 A281734 A086336 * A108796 A048849 A076211

Adjacent sequences:  A237255 A237256 A237257 * A237259 A237260 A237261

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 05 2014

EXTENSIONS

a(31)-a(47) from Alois P. Heinz, Feb 07 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 26 18:08 EDT 2020. Contains 334630 sequences. (Running on oeis4.)