A194965 - OEIS

A194965

Fractalization of (A053824(n+5)), n>=0.

1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 6, 2, 3, 4, 5, 1, 6, 7, 2, 3, 4, 5, 1, 6, 7, 8, 2, 3, 4, 5, 1, 6, 7, 8, 9, 2, 3, 4, 5, 1, 6, 7, 8, 9, 10, 2, 3, 4, 5, 1, 6, 11, 7, 8, 9, 10, 2, 3, 4, 5, 1, 6, 11, 12, 7, 8, 9, 10, 2, 3, 4, 5, 1, 6, 11, 12, 13, 7, 8, 9, 10, 2, 3, 4, 5, 1, 6, 11

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence. The sequence (A053724(n+5)), n>=0 is formed by concatenating 5-tuples of the form (n,n+1,n+2, n+3,n+4) for n>=1: 1,2,3,4,5,2,3,4,5,6,3,4,5,6,7,...

LINKS

Table of n, a(n) for n=1..94.

MATHEMATICA

p[n_] := Floor[(n + 4)/5] + Mod[n - 1, 5]

Table[p[n], {n, 1, 90}] (* A053824(n+5), 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] (* A194965 *)

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},