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A194875 Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194874; an interspersion. 4
1, 3, 2, 5, 4, 6, 9, 7, 10, 8, 13, 11, 14, 12, 15, 19, 16, 20, 17, 21, 18, 25, 22, 26, 23, 27, 24, 28, 33, 29, 34, 30, 35, 31, 36, 32, 41, 37, 42, 38, 43, 39, 44, 40, 45, 51, 46, 52, 47, 53, 48, 54, 49, 55, 50, 62, 57, 63, 58, 64, 59, 65, 60, 66, 61, 56, 73, 68, 75 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194832 for a general discussion.

LINKS

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

EXAMPLE

Northwest corner:

1...3...5...9...13..19

2...4...7...11..16..22

6...10..14..20..26..34

8...12..17..23..30..38

15..21..27..35..43..53

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}]]   (* A194874 *)

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}]]   (* A194875 *)

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

Table[q[n], {n, 1, 80}]]   (* A194876 *)

CROSSREFS

Cf. A194832, A194874, A194876.

Sequence in context: A302252 A176988 A194903 * A194836 A054069 A194869

Adjacent sequences:  A194872 A194873 A194874 * A194876 A194877 A194878

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 04 2011

STATUS

approved

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Last modified June 30 03:34 EDT 2022. Contains 354913 sequences. (Running on oeis4.)