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A071202
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Array read by antidiagonals giving number of paths up and left from (0,0) to (n,k) where x/y<n/k (except at start and finish).
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3
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1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 3, 5, 5, 3, 1, 1, 3, 7, 5, 7, 3, 1, 1, 4, 7, 14, 14, 7, 4, 1, 1, 4, 12, 19, 14, 19, 12, 4, 1, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 1, 5, 15, 30, 66, 42, 66, 30, 15, 5, 1, 1, 6, 22, 55, 99, 132, 132, 99, 55, 22, 6, 1, 1, 6, 26, 67, 143, 202, 132
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,8
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FORMULA
| Some identities: a(n, k)=a(k, n); a(n, m*n)=a(n, m*n-1); a(n, n)=A000108(n-1); if n and k are coprime then a(n, k)=A071201(n, k)
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CROSSREFS
| Sequence in context: A122923 A113971 A109338 * A102715 A182590 A047846
Adjacent sequences: A071199 A071200 A071201 * A071203 A071204 A071205
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KEYWORD
| nonn,tabl
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), May 16 2002
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