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A194836 Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194835; an interspersion. 4
1, 3, 2, 5, 4, 6, 9, 7, 10, 8, 13, 11, 14, 12, 15, 19, 16, 20, 17, 21, 18, 26, 23, 27, 24, 28, 25, 22, 33, 30, 35, 31, 36, 32, 29, 34, 42, 38, 44, 40, 45, 41, 37, 43, 39, 51, 47, 53, 49, 55, 50, 46, 52, 48, 54, 62, 57, 64, 59, 66, 61, 56, 63, 58, 65, 60, 74, 69, 76 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Each pair of rows eventually intersperse.

LINKS

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

EXAMPLE

Northwest corner:

1...3...5...9...13..19..26

2...4...7...11..16..23..30

6...10..14..20..27..35..44

8...12..17..24..31..40..49

15..21..28..36..45..55..66

18..25..32..41..50..61..73

MATHEMATICA

r = -Sqrt[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}]]  (* A194835 *)

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}]] (* A194836 *)

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

{n, 1, 80}]]  (* A194837 *)

CROSSREFS

Cf. A194835, A194837, A194832.

Sequence in context: A176988 A194903 A194875 * A054069 A194869 A191736

Adjacent sequences:  A194833 A194834 A194835 * A194837 A194838 A194839

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 03 2011

STATUS

approved

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Last modified June 30 03:33 EDT 2022. Contains 354913 sequences. (Running on oeis4.)