A248564 Numbers k such that A248562(k+1) = A248562(k) + 2.

3, 5, 7, 9, 11, 13, 14, 16, 18, 20, 21, 23, 25, 26, 28, 30, 31, 33, 35, 36, 38, 40, 41, 43, 45, 46, 48, 50, 51, 53, 54, 56, 58, 59, 61, 63, 64, 66, 67, 69, 71, 72, 74, 76, 77, 79, 80, 82, 84, 85, 87, 88, 90, 92, 93, 95, 97, 98, 100, 101, 103, 105, 106, 108

Offset

1,1

Links

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

Example

(A248562(k+1) - A248562(k)) = (1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2,...), so that A248563 = (1, 2, 4, 6, 8, 10, 12, 15, 17, ..) and A248564 = (3, 5, 7, 9, 11, 13, 14, 16, ...).

Mathematica

z = 300; p[k_] := p[k] = Sum[1/(h*3^h), {h, 1, k}];
N[Table[Log[3/2] - p[n], {n, 1, z/5}]]
f[n_] := f[n] = Select[Range[z], Log[3/2] - p[#] < 1/6^n &, 1];
u = Flatten[Table[f[n], {n, 1, z}]]    (* A248562 *)
Flatten[Position[Differences[u], 1]]   (* A248563 *)
Flatten[Position[Differences[u], 2]]   (* A248564 *)

Crossrefs

Cf. A248562, A248563, A248561, A248567.

Sequence in context: A065878 A186383 A284055 * A286999 A292650 A064996

Adjacent sequences: A248561 A248562 A248563 * A248565 A248566 A248567

Keyword

nonn,easy

Author

Clark Kimberling, Oct 09 2014

Status

approved