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!)
A095814 Number of nonisomorphic partitions of n on the Ferrers diagram. 0
1, 1, 1, 2, 3, 4, 6, 8, 11, 15, 21, 28, 39, 51, 68, 88, 116, 149, 193, 245, 314, 396, 501, 628, 788, 979, 1218, 1505, 1859, 2283, 2802, 3421, 4175, 5072, 6155, 7442, 8989, 10819, 13008, 15593, 18669, 22292, 26587, 31631, 37588, 44567, 52779, 62377 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Partitions of n into at most ceiling(n/2) parts and with at least 1 part greater than or equal to n - floor(n/2).

LINKS

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

FORMULA

a(n) = A000041(n)/2 if A000041(n) is even and (A000041(n)+1)/2 if A000041(n) is odd.

EXAMPLE

a(5) = 4 because the 4 nonisomorphic partitions of 5 are (5), (4,1), (3,2), (3,1,1).

PROG

(PARI)

CROSSREFS

Sequence in context: A188917 A046935 A241334 * A006683 A014213 A064323

Adjacent sequences:  A095811 A095812 A095813 * A095815 A095816 A095817

KEYWORD

nonn

AUTHOR

Jon Perry, Jul 13 2004

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 September 24 07:28 EDT 2020. Contains 337317 sequences. (Running on oeis4.)