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A194962 Interspersion fractally induced by A194960. 5

%I

%S 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,

%T 26,24,29,35,36,30,33,34,31,32,37,44,45,38,42,43,39,40,41,46,54,55,47,

%U 52,53,48,50,51,49,56,65,66,57,63,64,58,61,62,59,60,67,77,78

%N Interspersion fractally induced by A194960.

%C See A194959 for a discussion of fractalization and the interspersion fractally induced by a sequence.

%e Northwest corner:

%e 1...2...4...7...11..16..22

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

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

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

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

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

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

%t g[1] = {1}; g[n_] := Insert[g[n - 1], n, p[n]]

%t f[1] = g[1]; f[n_] := Join[f[n - 1], g[n]]

%t f[20] (* A194961 *)

%t row[n_] := Position[f[30], n];

%t u = TableForm[Table[row[n], {n, 1, 5}]]

%t v[n_, k_] := Part[row[n], k];

%t w = Flatten[Table[v[k, n - k + 1], {n, 1, 13},

%t {k, 1, n}]] (* A194962 *)

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

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

%Y Cf. A194959, A194960, A194962, A194963.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Sep 07 2011

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Last modified July 18 15:44 EDT 2019. Contains 325144 sequences. (Running on oeis4.)