A247779 Numbers k such that A247778(k+1) - A247778(k) = 1.

1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, 20, 21, 23, 25, 26, 28, 29, 31, 32, 34, 36, 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

Offset

1,2

Comments

Complement of A247780.

Links

Clark Kimberling, Table of n, a(n) for n = 1..2000

Example

The values of e - (1 + 1/k)^k for k = 1..8 are approximately 0.718282, 0.468282, 0.347911, 0.276876, 0.229962, 0.196655, 0.171782, 0.152497, so that the first 6 terms of A247778 are 1,2,4,5,6,8, and the first three terms of A247779 are 1,3,4.

Mathematica

z = 600; f[n_] := f[n] = Select[Range[z], E - (1 + 1/#)^# < 1/n &, 1];
u = Flatten[Table[f[n], {n, 1, z}]]       (*A247778*)
d1 = Flatten[Position[Differences[u], 1]] (*A247779*)
d2 = Flatten[Position[Differences[u], 2]] (*A247780*)

Crossrefs

Cf. A247778, A247780.

Sequence in context: A103566 A258592 A018825 * A243989 A248521 A059555

Adjacent sequences: A247776 A247777 A247778 * A247780 A247781 A247782

Keyword

nonn,easy

Author

Clark Kimberling, Sep 23 2014

Status

approved