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!)
A317084 Number of integer partitions of n whose multiplicities are weakly increasing and span an initial interval of positive integers. 2
1, 1, 1, 2, 2, 4, 4, 6, 7, 10, 11, 16, 17, 23, 27, 34, 38, 50, 54, 70, 79, 97, 107, 135, 148, 180, 205, 243, 270, 328, 360, 429, 480, 561, 625, 738, 810, 949, 1057, 1219, 1349, 1571, 1723, 1986, 2206, 2515, 2776, 3188, 3496, 3983, 4408, 4980, 5485, 6228, 6826 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

The a(7) = 6 integer partitions are (7), (61), (52), (43), (421), (331).

MATHEMATICA

normalQ[m_]:=Union[m]==Range[Max[m]];

Table[Length[Select[IntegerPartitions[n], And[normalQ[Length/@Split[#]], OrderedQ[Reverse[Length/@Split[#]]]]&]], {n, 60}]

CROSSREFS

Cf. A000041, A000837, A055932, A242031, A317081, A317082, A317085, A317087, A317090.

Sequence in context: A241317 A185224 A001996 * A122134 A035940 A067772

Adjacent sequences:  A317081 A317082 A317083 * A317085 A317086 A317087

KEYWORD

nonn

AUTHOR

Gus Wiseman, Jul 21 2018

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 February 19 19:06 EST 2020. Contains 332047 sequences. (Running on oeis4.)