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A304405 Number of partitions of n in which the sequence of the sum of the same summands is nondecreasing. 3
1, 1, 2, 3, 5, 6, 10, 12, 18, 22, 31, 37, 52, 61, 80, 97, 127, 147, 189, 220, 277, 325, 402, 469, 578, 665, 804, 933, 1121, 1282, 1537, 1754, 2081, 2374, 2793, 3179, 3739, 4232, 4923, 5587, 6477, 7305, 8445, 9519, 10949, 12323, 14110, 15825, 18099, 20229, 23005 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..50.

EXAMPLE

n |                      | Sequence of the sum of the same summands

--+----------------------+-----------------------------------------

1 | 1                    | 1

2 | 2                    | 2

  | 1+1                  | 2

3 | 3                    | 3

  | 2+1                  | 1, 2

  | 1+1+1                | 3

4 | 4                    | 4

  | 3+1                  | 1, 3

  | 2+2                  | 4

  | 2+1+1                | 2, 2

  | 1+1+1+1              | 4

5 | 5                    | 5

  | 4+1                  | 1, 4

  | 3+2                  | 2, 3

  | 3+1+1                | 2, 3

  | 2+2+1                | 1, 4

  | 1+1+1+1+1            | 5

6 | 6                    | 6

  | 5+1                  | 1, 5

  | 4+2                  | 2, 4

  | 4+1+1                | 2, 4

  | 3+3                  | 6

  | 3+2+1                | 1, 2, 3

  | 3+1+1+1              | 3, 3

  | 2+2+2                | 6

  | 2+2+1+1              | 2, 4

  | 1+1+1+1+1+1          | 6

CROSSREFS

Cf. A100883, A304406, A304428.

Sequence in context: A130898 A199016 A088314 * A347446 A097071 A105420

Adjacent sequences:  A304402 A304403 A304404 * A304406 A304407 A304408

KEYWORD

nonn

AUTHOR

Seiichi Manyama, May 12 2018

STATUS

approved

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Last modified May 20 21:39 EDT 2022. Contains 353876 sequences. (Running on oeis4.)