A194860 - OEIS

A194860

Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194859; an interspersion.

1, 3, 2, 6, 5, 4, 9, 8, 7, 10, 14, 12, 11, 15, 13, 20, 18, 16, 21, 19, 17, 27, 25, 23, 28, 26, 24, 22, 34, 32, 30, 36, 33, 31, 29, 35, 43, 40, 38, 45, 42, 39, 37, 44, 41, 53, 50, 47, 55, 52, 49, 46, 54, 51, 48, 63, 60, 57, 65, 62, 59, 56, 64, 61, 58, 66, 75, 71, 68

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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...9...14..20

2...5...8...12..18..25

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

10..15..21..28..36..45

13..19..26..33..42..52

17..24..31..39..49..59

MATHEMATICA

r = E;

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

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

Sort[t[n], Less]], {n, 1, 20}]] (* A194859 *)

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}]] (* A194860 *)

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

{n, 1, 80}]] (* A194861 *)

CROSSREFS

Cf. A194859, A194861, A194832.

Sequence in context: A234024 A194861 A194840 * A194839 A195071 A195081

Adjacent sequences: A194857 A194858 A194859 * A194861 A194862 A194863

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 04 2011

STATUS

approved