A099969 - OEIS

%I #11 Nov 18 2018 01:03:34

%S 2,10,26,58,122,1146,5242,13434,46202,177274,701562,1750138,18527354,

%T 52081786,186299514,454734970,4749702266,21929571450,56289309818,

%U 331167216762,880923030650,1980434658426,6378481169530,15174574191738

%N Write 1/e as a binary fraction; read this from left to right and whenever a 1 appears, note the integer formed by reading leftwards from that 1.

%e 1/e = 0.367879441171442321595523770161460867445811131031767834507... = 0.010111100010110101011000110110001011001110111100110111110001101010111010110111 in binary.

%e From the binary expansion we get 10 = 2, 1010 = 10, 11010 = 26, 111010 = 58, 1111010 = 122, etc.

%t d = 100; l = First[RealDigits[N[1/E, d], 2]]; Do[m = Take[l, n]; k = Length[m]; If[m[[k]] == 1, Print[2*FromDigits[Reverse[m], 2]]], {n, 1, d}] (* _Ryan Propper_, Aug 18 2005 *)

%Y Cf. A068985, A099970, A099971, A099972, A099973, A099974.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_, Nov 13, 2004, based on correspondence from _Artur Jasinski_, Mar 25 2003

%E More terms from _Ryan Propper_, Aug 18 2005