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A194974 Interspersion fractally induced by A194973, a rectangular array, by antidiagonals. 6
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 12, 16, 19, 20, 21, 17, 18, 22, 26, 27, 28, 23, 24, 25, 29, 34, 35, 36, 30, 31, 32, 33, 37, 43, 44, 45, 38, 40, 41, 42, 39, 46, 53, 54, 55, 47, 50, 51, 52, 48, 49, 56, 64, 65, 66, 57, 61, 62, 63, 58, 59, 60, 67, 76, 77 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence.

LINKS

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

EXAMPLE

Northwest corner:

1...2...4...7...11

3...5...8...13..19

6...9...14..20..27

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

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

MATHEMATICA

p[n_] := Floor[(n + 3)/4] + Mod[n - 1, 4]

Table[p[n], {n, 1, 90}]  (* A053737(n+4), n>=0 *)

g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]

f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]

f[20]  (* A194973 *)

row[n_] := Position[f[30], n];

u = TableForm[Table[row[n], {n, 1, 5}]]

v[n_, k_] := Part[row[n], k];

w = Flatten[Table[v[k, n - k + 1], {n, 1, 13},

{k, 1, n}]]  (* A194974 *)

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

{n, 1, 80}]]  (* A194975 *)

CROSSREFS

Cf. A194959, A194973, A194975.

Sequence in context: A086044 A257456 A257340 * A302839 A130572 A183224

Adjacent sequences:  A194971 A194972 A194973 * A194975 A194976 A194977

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 07 2011

STATUS

approved

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Last modified May 12 19:15 EDT 2021. Contains 343829 sequences. (Running on oeis4.)