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A304430 Number of partitions of n in which the sequence of the sum of the same summands is decreasing. 3
1, 1, 2, 2, 3, 3, 5, 5, 6, 8, 10, 10, 13, 15, 18, 19, 22, 26, 33, 33, 38, 41, 50, 53, 60, 68, 77, 84, 94, 100, 116, 122, 136, 148, 172, 182, 206, 219, 246, 258, 281, 301, 341, 365, 397, 429, 466, 489, 528, 572, 623, 660, 728, 773, 849, 895, 968, 1019, 1120, 1188, 1288 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..60.

FORMULA

a(n) <= A304406(n).

EXAMPLE

n |                      | Sequence of the sum of the same summands

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

1 | 1                    | 1

2 | 2                    | 2

  | 1+1                  | 2

3 | 3                    | 3

  | 1+1+1                | 3

4 | 4                    | 4

  | 2+2                  | 4

  | 1+1+1+1              | 4

5 | 5                    | 5

  | 2+1+1+1              | 3, 2

  | 1+1+1+1+1            | 5

6 | 6                    | 6

  | 3+3                  | 6

  | 2+2+2                | 6

  | 2+1+1+1+1            | 4, 2

  | 1+1+1+1+1+1          | 6

CROSSREFS

Cf. A100881, A304406, A304428.

Sequence in context: A342516 A325391 A179254 * A086609 A341140 A340285

Adjacent sequences:  A304427 A304428 A304429 * A304431 A304432 A304433

KEYWORD

nonn

AUTHOR

Seiichi Manyama, May 12 2018

STATUS

approved

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Last modified June 12 09:24 EDT 2021. Contains 344946 sequences. (Running on oeis4.)