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A248567 Numbers k such that A248565(k+1) = A248565(k) + 2. 5
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 12 13:34 EDT 2022. Contains 356077 sequences. (Running on oeis4.)