A261827 Decimal expansion of the number whose continued fraction expansion consists of the perfect numbers (A000396).

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

Offset

1,1

Links

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

Eric Weisstein's World of Mathematics, Continued Fraction

Eric Weisstein's World of Mathematics, Perfect Number

Example

6.0357117143069233346283990529260946180806175748136895461...

Mathematica

ind = {1, 2, 3, 4, 6, 7, 8, 11, 18, 24, 28, 31, 98, 111} (* from A016027 *); p = Prime@ ind; pn = (2^p - 1)(2^(p - 1)); RealDigits[ FromContinuedFraction@ pn, 10, 111][[1]] (* Robert G. Wilson v, Sep 13 2015 *)

Crossrefs

Cf. A000396, A073821, A073822, A073823, A073824, A052119, A064442.

Sequence in context: A094174 A105873 A011380 * A038139 A021998 A289487

Adjacent sequences: A261824 A261825 A261826 * A261828 A261829 A261830

Keyword

nonn,cons

Author

Ilya Gutkovskiy, Sep 02 2015

Status

approved