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 A037308 Numbers whose base-2 and base-10 expansions have the same digit sum. 19
 0, 1, 20, 21, 122, 123, 202, 203, 222, 223, 230, 231, 302, 303, 410, 411, 502, 503, 1130, 1131, 1150, 1151, 1202, 1203, 1212, 1213, 1230, 1231, 1300, 1301, 1402, 1403, 1502, 1503, 1510, 1511, 2006, 2007, 2032, 2033, 2102, 2103, 2200, 2201, 3006, 3007, 3012 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS n is in the sequence iff n+(-1)^n is in the sequence. [Robert Israel, Mar 25 2013] LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 FORMULA From Reinhard Zumkeller, Aug 06 2010: (Start) A007953(a(n)) = A000120(a(n)); A180018(a(n)) = 0. (End) EXAMPLE 122 is a member, since digital-sum_2(122) = 5 = digital-sum_10(122). MAPLE N:= 10000; # to get all elements up to N select(x -> (convert(convert(x, base, 10), `+`)-convert(convert(x, base, 2), `+`)=0), [\$0..N]); # Robert Israel, Mar 25 2013 MATHEMATICA Select[Range[0, 5000], Total[IntegerDigits[#, 2]] == Total[IntegerDigits[#, 10]] &] (* Jean-François Alcover, Mar 07 2016 *) PROG (PARI) is(n)=hammingweight(n)==sumdigits(n); \\ Charles R Greathouse IV, Sep 25 2012 (Sage) [n for n in (0..10000) if sum(n.digits(base=2)) == sum(n.digits(base=10))] # Freddy Barrera, Oct 12 2018 (Python) def ok(n): return sum(map(int, str(n))) == sum(map(int, bin(n)[2:])) print(list(filter(ok, range(3013)))) # Michael S. Branicky, Jun 20 2021 CROSSREFS Cf. A000040, A000120, A007953, A054899, A131451, A133620, A133900, A134599, A135110, A180018. Sequence in context: A041826 A041824 A309829 * A041828 A041830 A041832 Adjacent sequences:  A037305 A037306 A037307 * A037309 A037310 A037311 KEYWORD nonn,base AUTHOR EXTENSIONS Edited by N. J. A. Sloane Nov 29 2008 at the suggestion of Zak Seidov STATUS approved

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Last modified May 24 21:58 EDT 2022. Contains 354043 sequences. (Running on oeis4.)