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A072704
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Triangle of number of weakly unimodal partitions/compositions of n into exactly k terms.
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1
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1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 5, 4, 1, 1, 5, 8, 7, 5, 1, 1, 6, 12, 12, 9, 6, 1, 1, 7, 16, 20, 16, 11, 7, 1, 1, 8, 21, 30, 28, 20, 13, 8, 1, 1, 9, 27
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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LINKS
| H. Bottomley, Illustration of initial terms
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EXAMPLE
| Rows start: 1; 1,1; 1,2,1; 1,3,3,1; 1,4,5,4,1; 1,5,8,7,5,1; 1,6,12,12,9,6,1; etc. T(6,3)=8 since 6 can be written as 1+1+4, 1+2+3, 1+3+2, 1+4+1, 2+2+2, 2+3+1, 3+2+1, or 4+1+1 but not 2+1+3 or 3+1+2.
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CROSSREFS
| Cf. A059623, A072705. Row sums are A001523. First column is A057427, second is A000027 offset, third appears to be A000212 offset, right hand columns include A000012, A000027, A005408 and A008574.
Sequence in context: A077028 A114225 A193515 * A038792 A196416 A183456
Adjacent sequences: A072701 A072702 A072703 * A072705 A072706 A072707
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jul 04 2002
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