

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
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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



