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 A215633 Decimal expansion of sum(n>=1, 1/n^(n^prime(n)) ) 0
 1, 0, 0, 3, 9, 0, 6, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Is this a finite sequence? (or equivalently, is this constant rational?) Unlikely: the "apparent" rationality seems to be caused by the rapid growth of the denominators; one may instead speculate that the value is transcendental. - Joerg Arndt, Feb 05 2013 The constant is approximately 257/256 (see A021260). LINKS EXAMPLE 1.00390625000000000000000000... = 1 + 1/2^8 + 1/3^243 + 1/4^16384+... PROG (PARI) suminf(n=1, 1/n^(n^prime(n))) CROSSREFS Cf. A062481. Sequence in context: A248726 A267411 A021260 * A134878 A154540 A324834 Adjacent sequences:  A215630 A215631 A215632 * A215634 A215635 A215636 KEYWORD cons,nonn AUTHOR Balarka Sen, Aug 18 2012 STATUS approved

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Last modified August 8 09:16 EDT 2020. Contains 336293 sequences. (Running on oeis4.)