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Decimal expansion of B(18) = 43867/798, the 18th Bernoulli number.
2

%I #10 Dec 10 2019 03:28:16

%S 5,4,9,7,1,1,7,7,9,4,4,8,6,2,1,5,5,3,8,8,4,7,1,1,7,7,9,4,4,8,6,2,1,5,

%T 5,3,8,8,4,7,1,1,7,7,9,4,4,8,6,2,1,5,5,3,8,8,4,7,1,1,7,7,9,4,4,8,6,2,

%U 1,5,5,3,8,8,4,7,1,1,7,7,9,4,4,8,6,2,1,5,5,3,8,8,4,7,1,1,7,7,9,4

%N Decimal expansion of B(18) = 43867/798, the 18th Bernoulli number.

%C B(6), B(16) and B(18) are the first three Bernoulli numbers whose index is equal to their decimal expansion periodic length, B(16) and B(18) being the smallest such pair of consecutive even-indexed Bernoulli numbers.

%e 54.9711779448621553884711779448621553884...

%t RealDigits[BernoulliB[18], 10, 100] // First

%Y Cf. A021046 (B(6)), A234355 (B(16)).

%K nonn,cons

%O 2,1

%A _Jean-François Alcover_ and _Paul Curtz_, Dec 24 2013