A194909 - OEIS

A194909

Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194905; an interspersion.

1, 3, 2, 6, 5, 4, 10, 9, 8, 7, 15, 14, 13, 12, 11, 21, 20, 19, 18, 17, 16, 28, 27, 26, 25, 24, 23, 22, 35, 34, 33, 32, 31, 30, 29, 36, 44, 42, 41, 40, 39, 38, 37, 45, 43, 54, 52, 50, 49, 48, 47, 46, 55, 53, 51, 65, 63, 61, 59, 58, 57, 56, 66, 64, 62, 60, 77, 75, 73

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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...6...10..15..21

2...5...9...14..20..27

4...8...13..19..26..33

7...12..18..25..32..40

11..17..24..31..39..48

16..23..30..38..47..57

MATHEMATICA

r = -Pi;

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

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

Sort[t[n], Less]], {n, 1, 20}]] (* A194908 *)

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}]] (* A194909 *)

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

{n, 1, 80}]] (* A194910 *)

CROSSREFS

Cf. A194832, A194908, A194910.

Sequence in context: A194879 A194878 A194910 * A038722 A277881 A145522

Adjacent sequences: A194906 A194907 A194908 * A194910 A194911 A194912

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 05 2011

STATUS

approved