A059026 Table B(n,m) read by rows: B(n,m) = LCM(n,m)/n + LCM(n,m)/m - 1 for all 1<=m<=n.

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

Offset

1,2

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).

Links

Table of n, a(n) for n=1..82.

Maple

B := (n, m) -> lcm(n, m)/n + lcm(n, m)/m - 1: seq(seq(B(n, m), n=1..m), m=1..15);

Crossrefs

Cf. A022998, A059028, A059029, A059030, A059031.

Sequence in context: A210549 A187002 A177226 * A233529 A104471 A174828

Adjacent sequences: A059023 A059024 A059025 * A059027 A059028 A059029

Keyword

nonn,easy,tabl

Author

Asher Auel, Dec 15 2000

Status

approved