A215578 Decimal expansion of Sum_{n>=1} 1/n^(n^n).

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

Offset

1,3

Comments

A more general function is L(z) = sum(n=1,Infinity,1/n^^z).

What is the value of L(4)?

L(4) = 1.0000152587890625000... where the next 3 trillion decimal places are 0. - Charles R Greathouse IV, Sep 20 2012

Links

Table of n, a(n) for n=1..105.

Wikipedia, Tetration

Example

1.062500000000131137265239709250723468551954313530249 . . .

Prog

(PARI) suminf(n=1, 1/n^(n^n))

Crossrefs

Cf. A073009, A002488.

Sequence in context: A058160 A033939 A021020 * A007320 A199734 A007321

Adjacent sequences: A215575 A215576 A215577 * A215579 A215580 A215581

Keyword

cons,nonn

Author

Balarka Sen, Aug 16 2012

Status

approved