A072442 Least k such that Sum_{i=1..k} cos(1/sqrt(i)) > n.

1, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74

Offset

0,2

Comments

The complement of this sequence is 2, 6, 36, and 260, for all values up to 1000.

For n > 0, these values are actually k + 1. - Sean A. Irvine, Oct 01 2024

Links

Table of n, a(n) for n=0..70.

Mathematica

f[n_] := Block[{k = 1, s = 0}, While[s < n, s = s + Cos[1/Sqrt[k]]; k++ ]; k]; Table[ f[n], {n, 0, 60} ]

Crossrefs

Sequence in context: A253570 A362580 A055495 * A063992 A324540 A171520

Adjacent sequences: A072439 A072440 A072441 * A072443 A072444 A072445

Keyword

nonn

Author

Robert G. Wilson v, Aug 01 2002

Status

approved