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A194863 Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194862; an interspersion. 5
1, 2, 3, 5, 6, 4, 8, 10, 7, 9, 12, 14, 11, 13, 15, 18, 20, 16, 19, 21, 17, 24, 27, 22, 25, 28, 23, 26, 31, 34, 29, 32, 35, 30, 33, 36, 40, 43, 37, 41, 44, 38, 42, 45, 39, 49, 53, 46, 50, 54, 47, 51, 55, 48, 52, 60, 64, 57, 61, 65, 58, 62, 66, 59, 63, 56, 71, 76, 68 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For a general discussion, see A194832.

LINKS

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

EXAMPLE

Northwest corner:

1...2...5...8...12..18

3...6...10..14..20..27

4...7...11..16..22..29

9...13..19..25..32..41

15..21..28..35..44..54

MATHEMATICA

r = (1 + Sqrt[3])/2;

t[n_] := Table[FractionalPart[k*r], {k, 1, n}];

f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@

Sort[t[n], Less]], {n, 1, 20}]]  (* A194862 *)

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}]]  (* A194863 *)

q[n_] := Position[p, n]; Flatten[Table[q[n],

{n, 1, 80}]]  (* A194864 *)

CROSSREFS

Cf. A194832, A194862, A194864.

Sequence in context: A297409 A335858 A137760 * A194833 A195108 A054077

Adjacent sequences:  A194860 A194861 A194862 * A194864 A194865 A194866

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 04 2011

STATUS

approved

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Last modified September 25 23:09 EDT 2021. Contains 347664 sequences. (Running on oeis4.)