A194872 Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194871; an interspersion.

1, 2, 3, 5, 6, 4, 8, 10, 7, 9, 13, 15, 12, 14, 11, 18, 21, 17, 20, 16, 19, 25, 28, 24, 27, 23, 26, 22, 32, 36, 31, 35, 30, 34, 29, 33, 41, 45, 40, 44, 39, 43, 38, 42, 37, 50, 55, 49, 54, 48, 53, 47, 52, 46, 51, 60, 65, 59, 64, 58, 63, 57, 62, 56, 61, 66, 72, 77, 70

Offset

1,2

Comments

See A194832 for a general discussion

Links

Table of n, a(n) for n=1..69.

Example

Northwest corner:
1...2...5...8...13..18
3...6...10..15..21..28
4...7...12..17..24..31
9...14..20..27..35..44
11..16..23..30..39..48

Mathematica

r = Sqrt[6];
t[n_] := Table[FractionalPart[k*r], {k, 1, n}];
f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@
Sort[t[n], Less]], {n, 1, 20}]]   (* A194871 *)
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}]]   (* A194872 *)
q[n_] := Position[p, n]; Flatten[
Table[q[n], {n, 1, 80}]]   (* A194873 *)

Crossrefs

Cf. A194832, A194872, A194873.

Sequence in context: A194833 A195108 A054077 * A194900 A194051 A195610

Adjacent sequences: A194869 A194870 A194871 * A194873 A194874 A194875

Keyword

nonn,tabl

Author

Clark Kimberling, Sep 04 2011

Status

approved