OFFSET
1,2
COMMENTS
EXAMPLE
Northwest corner:
1...2...4...7...11..16
3...5...8...12..17..23
6...10..15..21..28..36
9...13..18..24..31..39
14..19..25..32..40..49
MATHEMATICA
r = 2/3; p[n_] := 1 + Floor[n*r]
Table[p[n], {n, 1, 90}] (* ess A004396 *)
g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]
f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]
f[20] (* A195082 *)
row[n_] := Position[f[30], n];
u = TableForm[Table[row[n], {n, 1, 5}]]
v[n_, k_] := Part[row[n], k];
w = Flatten[Table[v[k, n - k + 1], {n, 1, 13}, ]
{k, 1, n}]] (* A195083 *)
q[n_] := Position[w, n]; Flatten[Table[q[n],
{n, 1, 80}]] (* A195096 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Sep 08 2011
STATUS
approved