A231560 Floor(sum_{i=2..n} 1/(i*log(i))).

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset

2,27

Comments

Compare with sum_{i=1..n} 1/prime(n).

This sequence also appears to diverge, with a(n) >= 3 for n >= 8718.

Links

Table of n, a(n) for n=2..88.

Mathematica

s = 0; Table[Floor[s = s + 1/(n*Log[n])], {n, 2, 88}] (* T. D. Noe, Nov 15 2013 *)

Prog

(JavaScript)
s=0;
for (i=2; i<600; i++) {
s+=1/(i*Math.log(i));
document.write(Math.floor(s)+", ");
}

Crossrefs

Cf. A000040 (the primes).

Sequence in context: A000520 A044930 A032545 * A113679 A262438 A044931

Adjacent sequences: A231557 A231558 A231559 * A231561 A231562 A231563

Keyword

nonn

Author

Jon Perry, Nov 11 2013

Status

approved