A196657 63*2^(n+1) + 1.

127, 253, 505, 1009, 2017, 4033, 8065, 16129, 32257, 64513, 129025, 258049, 516097, 1032193, 2064385, 4128769, 8257537, 16515073, 33030145, 66060289, 132120577, 264241153, 528482305, 1056964609, 2113929217, 4227858433, 8455716865, 16911433729, 33822867457

Offset: 0

Author

Brad Clardy, Oct 04 2011

Keywords

• nonn
• easy

Comments

Binary numbers of form 111111(n)1 where n is the index and number of 0's.

Examples

			First few terms in binary are 1111111, 11111101, 111111001, 1111110001, 11111100001.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (3,-2).

Programs

Magma

[63*2^(n+1) + 1: n in [0..100]];

Mathematica

LinearRecurrence[{3,-2},{127,253},50] (* Vincenzo Librandi, Nov 25 2011 *)

PARI

a(n)=126<Charles R Greathouse IV, Oct 06 2011