|
|
A194973
|
|
Fractalization of (A053737(n+4)), n>=0.
|
|
3
|
|
|
1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 5, 2, 3, 4, 1, 5, 6, 2, 3, 4, 1, 5, 6, 7, 2, 3, 4, 1, 5, 6, 7, 8, 2, 3, 4, 1, 5, 9, 6, 7, 8, 2, 3, 4, 1, 5, 9, 10, 6, 7, 8, 2, 3, 4, 1, 5, 9, 10, 11, 6, 7, 8, 2, 3, 4, 1, 5, 9, 10, 11, 12, 6, 7, 8, 2, 3, 4, 1, 5, 9, 13, 10, 11, 12, 6, 7, 8, 2, 3, 4, 1, 5, 9
(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 (A053737(n+4)), n>=0 is formed by concatenating 4-tuples of the form (n,n+1,n+2, n+3) for n>=1: 1,2,3,4,2,3,4,5,3,4,5,6,...
|
|
LINKS
|
|
|
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]]
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},
q[n_] := Position[w, n]; Flatten[Table[q[n],
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|