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A072575
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Triangle T(n,k) of number of compositions (unordered partitions) of n into distinct parts where largest part is exactly k, 1<=k<=n.
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2
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1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 6, 2, 2, 1, 0, 0, 0, 8, 2, 2, 1, 0, 0, 0, 6, 8, 2, 2, 1, 0, 0, 0, 6, 8, 8, 2, 2, 1, 0, 0, 0, 24, 12, 8, 8, 2, 2, 1, 0, 0, 0, 0, 30, 14, 8, 8, 2, 2, 1, 0, 0, 0, 0, 30, 36, 14, 8, 8, 2, 2, 1, 0, 0, 0, 0, 24, 36, 38, 14, 8, 8, 2, 2, 1, 0, 0, 0, 0, 24, 54, 42
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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LINKS
| Index entries for sequences related to compositions
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EXAMPLE
| Rows start: 1; 0,1; 0,2,1; 0,0,2,1; 0,0,2,2,1; 0,0,6,2,2,1; 0,0,0,8,2,2,1; 0,0,0,6,8,2,2,1; etc. T(7,4)=8 since 7 can be written as 4+3 =4+2+1 =4+1+2 =3+4 =2+4+1 =2+1+4 =1+4+2 =1+2+4.
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CROSSREFS
| Cf. A026836, A072574. Row sums are A032020. Column sums appear to be A001339 (offset). Starting terms of columns tend towards A072576 as k increases.
Sequence in context: A027186 A131962 A168313 * A025872 A112344 A123721
Adjacent sequences: A072572 A072573 A072574 * A072576 A072577 A072578
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jun 21 2002
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