A394929 Decimal expansion of Sum_{n>=3} 1/(n*log(n)^2*log(log(n))^2).

3, 3, 3, 5, 6, 0, 7, 2, 6, 1, 9, 4, 3, 8, 0, 3, 4, 5, 5, 2, 7, 2, 7, 0, 1, 4, 2, 8, 5, 0, 0, 0, 8, 3, 0, 7, 5, 2, 2, 8, 3, 9, 7, 4, 9, 9, 5, 7, 0, 9, 1, 8, 1, 3, 0, 9, 9, 6, 4, 1, 1, 0, 7, 1, 4, 5, 1, 8, 5, 3, 5, 3, 9, 2, 0, 1, 8, 8, 9, 3, 2, 9, 8, 4, 3, 7, 6, 2, 8, 1, 6, 8, 8, 1, 4, 6, 9, 4, 9, 8, 8, 4, 2, 9, 1

Offset

2,1

Links

Table of n, a(n) for n=2..106.

Example

33.356072619438034552727014285...

Mathematica

Sum[1/(n Log[n]^2 Log[Log[n]]^2), {n, 3, Infinity}]

Prog

(PARI)
/* procedure by Bill Allombert */
sumposlog(g)=sumalt(k=1, (-1)^(k+1)*sumpos(n=0, g(log(k)+n*log(2))/k))
sumposlog(n->if(n>=1, 1/(n^2*log(n)^2)))

Crossrefs

Cf. A115563, A118582, A363368.

Sequence in context: A357057 A226592 A133683 * A182998 A117900 A318203

Adjacent sequences: A394926 A394927 A394928 * A394930 A394931 A394932

Keyword

nonn,cons

Author

Artur Jasinski, Apr 07 2026

Status

approved