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A238871
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Number of weakly unimodal compositions of n with absolute difference of successive parts <= 1.
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2
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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
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OFFSET
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0,3
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LINKS
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EXAMPLE
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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 ]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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