OFFSET
1,2
EXAMPLE
Northwest corner:
1...3...6...9...14..20..27
2...5...8...12..18..25..32
4...7...11..16..23..30..38
10..15..21..28..36..45..55
13..19..26..33..42..52..63
17..24..31..39..49..60..71
MATHEMATICA
r = Sqrt[3];
t[n_] := Table[FractionalPart[k*r], {k, 1, n}];
f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@ Sort[t[n], Less]], {n, 1, 20}]] (* A194838 *)
TableForm[Table[Flatten[(Position[t[n], #1] &) /@ Sort[t[n], Less]], {n, 1, 15}]]
row[n_] := Position[f, n];
u = TableForm[Table[row[n], {n, 1, 20}]]
g[n_, k_] := Part[row[n], k];
p = Flatten[Table[g[k, n - k + 1], {n, 1, 13},
{k, 1, n}]] (* A194839 *)
q[n_] := Position[p, n]; Flatten[
Table[q[n], {n, 1, 80}]] (* A194840 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Sep 03 2011
STATUS
approved