A078733 Numbers n such that the b0(n)^2=b1(n) where b1(n) denotes the number of 1's in binary expansion of n, b0(n) the number of 0's.

2, 39, 43, 45, 46, 51, 53, 54, 57, 58, 60, 2303, 2431, 2495, 2527, 2543, 2551, 2555, 2557, 2558, 2687, 2751, 2783, 2799, 2807, 2811, 2813, 2814, 2879, 2911, 2927, 2935, 2939, 2941, 2942, 2975, 2991, 2999, 3003, 3005, 3006, 3023, 3031, 3035, 3037, 3038

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Example

39 = 100111_2 with 4 1's and 2 0's, hence 39 is in the sequence.

Prog

(PARI) is(n)=hammingweight(bitneg(n, #binary(n)))^2==hammingweight(n) \\ Charles R Greathouse IV, Mar 29 2013

Crossrefs

Sequence in context: A028442 A062982 A042801 * A201360 A227904 A175760

Adjacent sequences: A078730 A078731 A078732 * A078734 A078735 A078736

Keyword

base,nonn

Author

Benoit Cloitre, Dec 21 2002

Status

approved