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A143858
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Number of pairwise disjoint unions of m integer-to-integer subintervals of [0,n]; a rectangular array by antidiagonals, n>=2m-1, m>=1.
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1
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1, 3, 1, 6, 5, 1, 10, 15, 7, 1, 15, 35, 28, 9, 1, 21, 70, 84, 45, 11, 1, 28, 126, 210, 165, 66, 13, 1, 36, 210, 462, 495, 286, 91, 15, 1, 45, 330, 924, 1287, 1001, 455, 120, 17, 1, 55, 495, 1716, 3003, 3003, 1820, 680, 153, 19, 1, 66, 715, 3003, 6435, 8008, 6188, 3060
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OFFSET
| 1,2
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COMMENTS
| Main diagonal: A025174.
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FORMULA
| R(m,n)=C(n+1,2m), where n>=2m-1, m>=1. R is also given by the absolute values of terms in A109954.
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EXAMPLE
| R(2,4) counts these unions of 2 subintervals of [0,4]:
[0,1]U[2,3], [0,1]U[2,4], [0,1]U[3,4], [0,2]U[3,4], [1,2]U[3,4]
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CROSSREFS
| Cf. A007318, A025174, A109954, A085478.
Sequence in context: A116666 A061702 A112351 * A109954 A153641 A133545
Adjacent sequences: A143855 A143856 A143857 * A143859 A143860 A143861
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KEYWORD
| nonn,tabl
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Sep 03 2008
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