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A194961
Fractalization of A194960.
5
1, 1, 2, 1, 2, 3, 1, 4, 2, 3, 1, 4, 5, 2, 3, 1, 4, 5, 6, 2, 3, 1, 4, 7, 5, 6, 2, 3, 1, 4, 7, 8, 5, 6, 2, 3, 1, 4, 7, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 11, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 11, 12, 8, 9, 5, 6, 2, 3, 1, 4, 7, 10, 13, 11, 12, 8, 9, 5, 6, 2, 3, 1, 4, 7
OFFSET
1,3
COMMENTS
See A194959 for a discussion of fractalization.
LINKS
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Sep 06 2011
STATUS
approved