A082486 - OEIS

%I #11 May 21 2022 08:42:38

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

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

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

%N Decimal expansion of the constant c satisfying Sum_{k>=1} 1/c^sqrtint(k) = 1 where sqrtint(k) = floor(sqrt(k)).

%F Equals 5/2 + sqrt(17)/2.

%e 4.5615528128088302749107049....

%e Sum_{k=1..1000} 1/c^sqrtint(k) = 0.9999999999999999998470351081791855275...

%t RealDigits[(5 + Sqrt[17])/2, 10, 100][[1]] (* _Amiram Eldar_, May 21 2022 *)

%Y Cf. A082483, A082484.

%K cons,nonn

%O 1,1

%A _Benoit Cloitre_, Apr 28 2003