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A135772 Numbers having equal number of divisors and binary digits. +0
9
1, 2, 3, 4, 8, 10, 14, 15, 16, 32, 44, 45, 50, 52, 63, 64, 128, 130, 135, 136, 138, 152, 154, 165, 170, 174, 182, 184, 186, 189, 190, 195, 222, 230, 231, 232, 238, 246, 248, 250, 255, 256, 441, 484, 512, 567, 592, 656, 688, 752, 848, 891, 944, 976 (list; graph; listen)
OFFSET

1,2

EXAMPLE

a(1) = 1 since 1 has 1 divisor and 1 binary digit.

a(2),a(3) = 2,3 since 2=10[2] and 3=11[2] have 2 divisors and 2 binary digits.

a(4) = 4 = 100[2] is the only number with 3 binary digits having 3 divisors.

8,10,14,15 have 4 binary digits and 4 divisors.

PROGRAM

(PARI) for(d=1, 10, for(n=2^(d-1), 2^d-1, d==numdiv(n)&print1(n", ")))

CROSSREFS

Cf. A135773-A135779, A095862.

Adjacent sequences: A135769 A135770 A135771 this_sequence A135773 A135774 A135775

Sequence in context: A073465 A121612 A061193 this_sequence A051783 A033083 A005542

KEYWORD

base,nonn

AUTHOR

M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Nov 28 2007

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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