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A195071 Inverse permutation of A194922; every positive integer occurs exactly once. 4
1, 3, 2, 6, 5, 4, 9, 10, 8, 7, 13, 15, 14, 12, 11, 18, 21, 20, 19, 17, 16, 24, 27, 28, 26, 25, 23, 22, 31, 34, 36, 35, 33, 32, 30, 29, 39, 42, 45, 44, 43, 41, 40, 38, 37, 48, 51, 55, 54, 53, 52, 50, 49, 47, 46, 58, 61, 65, 66, 64, 63, 62, 60, 59, 57, 56, 69, 72, 76 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..5000

MATHEMATICA

r = Sqrt[2]; p[n_] := n - Floor[n/r]

Table[p[n], {n, 1, 90}]  (* A194920 *)

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]  (* A194921 *)

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}]]  (* A194922 *)

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

{n, 1, 80}]]   (* A195071 *)

CROSSREFS

Cf. A194922, A194921, A194920, A194959.

Sequence in context: A194840 A194860 A194839 * A195081 A120913 A194922

Adjacent sequences:  A195068 A195069 A195070 * A195072 A195073 A195074

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 08 2011

STATUS

approved

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Last modified September 25 09:40 EDT 2021. Contains 347654 sequences. (Running on oeis4.)