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A194962 Interspersion fractally induced by A194960. 5
1, 2, 3, 4, 5, 6, 7, 9, 10, 8, 11, 14, 15, 12, 13, 16, 20, 21, 17, 18, 19, 22, 27, 28, 23, 25, 26, 24, 29, 35, 36, 30, 33, 34, 31, 32, 37, 44, 45, 38, 42, 43, 39, 40, 41, 46, 54, 55, 47, 52, 53, 48, 50, 51, 49, 56, 65, 66, 57, 63, 64, 58, 61, 62, 59, 60, 67, 77, 78 (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..16..22

3...5...9...14..20..27..35

6...10..15..21..28..36..45

8...12..17..23..30..38..47

18..13..25..33..42..52..63

MATHEMATICA

p[n_] := Floor[(n + 2)/3] + Mod[n - 1, 3]

Table[p[n], {n, 1, 90}]  (* A194960 *)

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]  (* A194961 *)

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}]]  (* A194962 *)

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

Table[q[n], {n, 1, 80}]]  (* A194963 *)

CROSSREFS

Cf. A194959, A194960, A194962, A194963.

Sequence in context: A265570 A265554 A082463 * A072793 A083047 A191737

Adjacent sequences:  A194959 A194960 A194961 * A194963 A194964 A194965

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 07 2011

STATUS

approved

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Last modified June 18 15:13 EDT 2019. Contains 324213 sequences. (Running on oeis4.)