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A206912 Position of log(n+1) when the partial sums of the harmonic series are jointly ranked with the set {log(k+1)}; complement of A206911. 2
1, 3, 4, 6, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 45, 46, 48, 50, 51, 53, 54, 56, 57, 59, 60, 62, 64, 65, 67, 68, 70, 71, 73, 75, 76, 78, 79, 81, 82, 84, 85, 87, 89, 90, 92, 93, 95, 96, 98, 99, 101, 103, 104 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Conjecture:  the difference sequence of A206912 consists of 1s and 2s; see Comments at A206911.

LINKS

Table of n, a(n) for n=1..67.

EXAMPLE

(See the example at A206911.)

MATHEMATICA

f[n_] := Sum[1/k, {k, 1, n}];  z = 300;

g[n_] := N[Log[n + 1]];

c = Table[f[n], {n, 1, z}];

s = Table[g[n], {n, 1, z}];

j = Sort[Union[c, s]];

p[n_] := Position[j, f[n]]; q[n_] := Position[j, g[n]];

Flatten[Table[p[n], {n, 1, z}]]    (* A206911 *)

Flatten[Table[q[n], {n, 1, z}]]    (* A206912 *)

CROSSREFS

Cf. A206911.

Sequence in context: A292642 A249117 A093610 * A330113 A329923 A187342

Adjacent sequences:  A206909 A206910 A206911 * A206913 A206914 A206915

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 13 2012

STATUS

approved

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Last modified April 6 15:23 EDT 2020. Contains 333276 sequences. (Running on oeis4.)