A248567 Numbers k such that A248565(k+1) = A248565(k) + 2.

3, 6, 9, 11, 13, 16, 18, 20, 22, 24, 26, 28, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 117, 119, 121, 123, 125, 127, 129

Offset

1,1

Links

Clark Kimberling, Table of n, a(n) for n = 1..500

Example

(A248565(k+1) - A248565(k)) = (1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2,...), so that A248566 = (1, 2, 4, 5, 7, 8, 10, 12, 14, ..) and A248567 = (3, 6, 9, 11, 13, 16, 18, 20, ...).

Mathematica

z = 2500; p[k_] := p[k] = Sum[1/(h*4^h), {h, 1, k}];
N[Table[p[k], {k, 1, z/5}], 12];
N[Table[Log[4/3] - p[n], {n, 1, z/5}]];
f[n_] := f[n] = Select[Range[z], Log[4/3] - p[#] < 1/8^n &, 1];
u = Flatten[Table[f[n], {n, 1, z}]] ;   (* A248565 *)
Flatten[Position[Differences[u], 1]];   (* A248566 *)
Flatten[Position[Differences[u], 2]];   (* A248567 *)

Crossrefs

Cf. A248565, A248566, A248561, A248564.

Sequence in context: A343306 A267881 A310142 * A310143 A310144 A310145

Adjacent sequences: A248564 A248565 A248566 * A248568 A248569 A248570

Keyword

nonn,easy

Author

Clark Kimberling, Oct 09 2014

Status

approved