A054072 Position of n in the permutation of 1,2,...,n obtained by ordering the fractional parts {h*sqrt(2)} for h=1,2,...,n.

1, 2, 1, 3, 1, 4, 7, 3, 7, 2, 7, 12, 5, 11, 3, 10, 1, 9, 17, 6, 15, 3, 13, 23, 9, 20, 5, 17, 1, 14, 27, 9, 23, 4, 19, 34, 13, 29, 7, 24, 41, 17, 35, 10, 29, 3, 23, 43, 15, 36, 7, 29, 51, 20, 43, 11, 35, 2, 27, 52, 17, 43, 7, 34, 61, 23, 51, 12, 41

Offset

1,2

Links

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

Mathematica

r = Sqrt[2]; p[x_] := FractionalPart[x];
u[n_, k_] := If[p[k*r] <= p[n*r], 1, 0]
v[n_, k_] := If[p[k*r] > p[n*r], 1, 0]
s[n_] := Sum[u[n, k], {k, 1, n}]
t[n_] := Sum[v[n, k], {k, 1, n}]
Table[s[n], {n, 1, 100}]   (* this sequence *)
Table[t[n], {n, 1, 100}]   (* A194735 *)

Crossrefs

Cf. A194735, A194738, A019587.

Sequence in context: A034868 A050382 A197956 * A325642 A110977 A295785

Adjacent sequences: A054069 A054070 A054071 * A054073 A054074 A054075

Keyword

nonn

Author

Clark Kimberling

Status

approved