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A014313 Numbers with exactly 5 ones in binary expansion. 16
31, 47, 55, 59, 61, 62, 79, 87, 91, 93, 94, 103, 107, 109, 110, 115, 117, 118, 121, 122, 124, 143, 151, 155, 157, 158, 167, 171, 173, 174, 179, 181, 182, 185, 186, 188, 199, 203, 205, 206, 211, 213, 214, 217, 218, 220, 227, 229, 230, 233, 234, 236, 241, 242 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Appears to give all n such that 4096 is the highest power of 2 dividing A005148(n). - Benoit Cloitre, Jun 22 2002

A038447(n) = A007088(a(n)). - Reinhard Zumkeller, Jan 06 2015

LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000

Index entries for 2-automatic sequences.

FORMULA

a(n+1)=A057168(a(n)). - M. F. Hasler, Aug 27 2014

MATHEMATICA

Select[ Range[31, 240], Total[IntegerDigits[#, 2]] == 5&]

PROG

(PARI) sum_of_bits(n) = if(n<1, 0, sum_of_bits(floor(n/2))+n%2)

isA014313(n) = (sum_of_bits(n) == 5); \\ Michael B. Porter, Oct 21 2009

(PARI) is(n)=hammingweight(n)==5 \\ Charles R Greathouse IV, Nov 17 2013

(PARI) print1(t=2^5-1); for(i=2, 50, print1(", "t=A057168(t))) \\ M. F. Hasler, Aug 27 2014

(Haskell)

a014313 = f . a038447 where

   f x = if x == 0 then 0 else 2 * f x' + b  where (x', b) = divMod x 10

-- Reinhard Zumkeller, Jan 06 2015

CROSSREFS

Cf. A000079, A018900, A014311, A014312, A014313, A023688, A023689, A023690, A023691 (Hamming weight = 1, 2, ..., 9).

Cf. A007088.

Sequence in context: A033661 A219243 A046047 * A095318 A130096 A229624

Adjacent sequences:  A014310 A014311 A014312 * A014314 A014315 A014316

KEYWORD

nonn,base,easy

AUTHOR

Al Black (gblack(AT)nol.net)

EXTENSIONS

Extension and program by Olivier Gérard

STATUS

approved

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Last modified August 21 00:36 EDT 2017. Contains 290855 sequences.