cp's OEIS Frontend

A082486 Decimal expansion of the constant c satisfying Sum_{k>=1} 1/c^sqrtint(k) = 1 where sqrtint(k) = floor(sqrt(k)).

%I A082486 #11 May 21 2022 08:42:38
%S A082486 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 A082486 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 A082486 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 A082486 Decimal expansion of the constant c satisfying Sum_{k>=1} 1/c^sqrtint(k) = 1 where sqrtint(k) = floor(sqrt(k)).
%F A082486 Equals 5/2 + sqrt(17)/2.
%e A082486 4.5615528128088302749107049....
%e A082486 Sum_{k=1..1000} 1/c^sqrtint(k) = 0.9999999999999999998470351081791855275...
%t A082486 RealDigits[(5 + Sqrt[17])/2, 10, 100][[1]] (* _Amiram Eldar_, May 21 2022 *)
%Y A082486 Cf. A082483, A082484.
%K A082486 cons,nonn
%O A082486 1,1
%A A082486 _Benoit Cloitre_, Apr 28 2003