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A194900 Rectangular array, by antidiagonals: row n gives the positions of n in the fractal sequence A194899; an interspersion. 4
1, 2, 3, 5, 6, 4, 8, 10, 7, 9, 13, 15, 12, 14, 11, 18, 21, 17, 20, 16, 19, 25, 28, 24, 27, 23, 26, 22, 32, 36, 31, 35, 30, 34, 29, 33, 41, 45, 40, 44, 39, 43, 38, 42, 37, 50, 55, 49, 54, 48, 53, 47, 52, 46, 51, 61, 66, 60, 65, 59, 64, 58, 63, 57, 62, 56, 72, 78, 71 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A194832 for a general discussion.
LINKS
EXAMPLE
Northwest corner:
1...2...5...8...13..18
3...6...10..15..21..28
4...7...12..17..24..31
9...14..20..27..35..44
11..16..23..30..39..48
MATHEMATICA
r = Sqrt[12];
t[n_] := Table[FractionalPart[k*r], {k, 1, n}];
f = Flatten[Table[Flatten[(Position[t[n], #1] &) /@
Sort[t[n], Less]], {n, 1, 20}]] (* A194899 *)
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, 15},
{k, 1, n}]] (* A194900 *)
q[n_] := Position[p, n]; Flatten[Table[q[n],
{n, 1, 90}]] (* A194901 *)
CROSSREFS
Sequence in context: A195108 A054077 A194872 * A194051 A195610 A342038
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Sep 05 2011
STATUS
approved

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Last modified March 29 09:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)