

A153114


Integers with the same number of zeros in base 10 and base 2.


3



0, 1, 3, 7, 15, 30, 31, 63, 127, 255, 503, 507, 509, 510, 511, 1003, 1005, 1006, 1015, 1019, 1020, 1021, 1022, 2007, 2015, 2030, 2031, 2039, 2043, 2045, 2046, 3007, 3070, 3071, 4030, 4031, 4063, 4079, 4087, 4090, 4091, 4093, 4094, 8063, 8190, 8191, 16383
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OFFSET

1,3


COMMENTS

Some have no zeros at all. These are exclusively of the form 2^n1, but not universally. 511=111111111b, no zeros. 1023=1111111111b but zero counts are inequal. The smallest integer with 6 zeros in both decimal and binary expansion is 100007900=101111101011111111111011100b.


LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 550 terms from Enrique PĂ©rez Herrero)


EXAMPLE

a(6)=30 because 30 base 2 = 11110 and both terms have the same number of zeros.


CROSSREFS

Cf. A023416, A153115.
Sequence in context: A283606 A147400 A002545 * A325664 A290865 A055795
Adjacent sequences: A153111 A153112 A153113 * A153115 A153116 A153117


KEYWORD

nonn,base


AUTHOR

Gil Broussard, Dec 18 2008


STATUS

approved



