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A059026
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Table B(n,m) read by rows: B(n,m) = LCM(n,m)/n + LCM(n,m)/m - 1 for all 1<=m<=n.
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5
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1, 2, 1, 3, 4, 1, 4, 2, 6, 1, 5, 6, 7, 8, 1, 6, 3, 2, 4, 10, 1, 7, 8, 9, 10, 11, 12, 1, 8, 4, 10, 2, 12, 6, 14, 1, 9, 10, 3, 12, 13, 4, 15, 16, 1, 10, 5, 12, 6, 2, 7, 16, 8, 18, 1, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 1, 12, 6, 4, 3, 16, 2, 18, 4, 6, 10, 22, 1, 13, 14, 15, 16
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| In an n X m box, a ball makes B(n,m) "bounces" starting at one corner until it reaches another corner, only allowed to travel on diagonal grid lines. B(n+2,n) = A022998(n+1) for all n >= 1. B(2n-1,n) = A016777(n) = 3n + 1 for all n >= 1 (central vertical).
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MAPLE
| B := (n, m) -> lcm(n, m)/n + lcm(n, m)/m - 1: seq(seq(B(n, m), n=1..m), m=1..15);
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CROSSREFS
| Cf. A022998, A059028, A059029, A059030, A059031.
Sequence in context: A135086 A187002 A177226 * A104471 A174828 A085643
Adjacent sequences: A059023 A059024 A059025 * A059027 A059028 A059029
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KEYWORD
| nonn,easy,tabl
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AUTHOR
| Asher Auel (asher.auel(AT)reed.edu) Dec 15 2000
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