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A238871 Number of weakly unimodal compositions of n with absolute difference of successive parts <= 1. 2
1, 1, 2, 4, 6, 10, 14, 21, 27, 40, 52, 70, 92, 124, 156, 206, 264, 335, 425, 539, 673, 847, 1052, 1300, 1611, 1990, 2433, 2977, 3638, 4420, 5367, 6496, 7829, 9439, 11341, 13590, 16270, 19425, 23135, 27525, 32697, 38745, 45844, 54168, 63875, 75247, 88493, 103892 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

EXAMPLE

The a(8) = 27 such compositions are:

01:  [ 1 1 1 1 1 1 1 1 ]

02:  [ 1 1 1 1 1 1 2 ]

03:  [ 1 1 1 1 1 2 1 ]

04:  [ 1 1 1 1 2 1 1 ]

05:  [ 1 1 1 1 2 2 ]

06:  [ 1 1 1 2 1 1 1 ]

07:  [ 1 1 1 2 2 1 ]

08:  [ 1 1 1 2 3 ]

09:  [ 1 1 2 1 1 1 1 ]

10:  [ 1 1 2 2 1 1 ]

11:  [ 1 1 2 2 2 ]

12:  [ 1 2 1 1 1 1 1 ]

13:  [ 1 2 2 1 1 1 ]

14:  [ 1 2 2 2 1 ]

15:  [ 1 2 2 3 ]

16:  [ 1 2 3 2 ]

17:  [ 2 1 1 1 1 1 1 ]

18:  [ 2 2 1 1 1 1 ]

19:  [ 2 2 2 1 1 ]

20:  [ 2 2 2 2 ]

21:  [ 2 3 2 1 ]

22:  [ 2 3 3 ]

23:  [ 3 2 1 1 1 ]

24:  [ 3 2 2 1 ]

25:  [ 3 3 2 ]

26:  [ 4 4 ]

27:  [ 8 ]

CROSSREFS

Cf. A001522, A001523, A005169, A034297, A238870, A238872.

Sequence in context: A103259 A280131 A082380 * A323595 A136460 A000065

Adjacent sequences:  A238868 A238869 A238870 * A238872 A238873 A238874

KEYWORD

nonn

AUTHOR

Joerg Arndt, Mar 21 2014

STATUS

approved

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Last modified July 26 09:29 EDT 2021. Contains 346294 sequences. (Running on oeis4.)