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!)
A284616 Number of partitions of n such that the (sum of distinct even parts) < n/2. 4
1, 1, 2, 2, 6, 8, 11, 14, 23, 29, 38, 48, 81, 102, 131, 163, 235, 293, 364, 448, 622, 762, 933, 1134, 1571, 1906, 2311, 2784, 3682, 4425, 5305, 6339, 8219, 9796, 11648, 13808, 17543, 20743, 24484, 28817, 36600, 43025, 50477, 59101, 73401, 85788, 100085 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..47.

EXAMPLE

a(4) counts these 2 partitions: 31, 1111.

MATHEMATICA

Table[p = IntegerPartitions[n];

Length[Select[Table[Total[Select[DeleteDuplicates[p[[k]]], EvenQ]], {k,

     Length[p]}], # < n/2 &]], {n, 54}]

CROSSREFS

Cf. A284617, A284618, A284619.

Sequence in context: A320248 A320067 A248823 * A136513 A214932 A322132

Adjacent sequences:  A284613 A284614 A284615 * A284617 A284618 A284619

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 02 2017

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 25 21:07 EDT 2020. Contains 337344 sequences. (Running on oeis4.)