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A153114 Integers with the same number of zeros in base 10 and base 2. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Some have no zeros at all. These are exclusively of the form 2^n-1, 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

Enrique PĂ©rez Herrero, Table of n, a(n) for n = 1..550

EXAMPLE

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

CROSSREFS

Sequence in context: A283606 A147400 A002545 * A290865 A055795 A058695

Adjacent sequences:  A153111 A153112 A153113 * A153115 A153116 A153117

KEYWORD

base,easy,nonn

AUTHOR

Gil Broussard, Dec 18 2008

STATUS

approved

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Last modified February 17 02:33 EST 2019. Contains 320200 sequences. (Running on oeis4.)