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A039255
Numbers whose base-12 representation has the same number of 5's and 7's.
2
0, 1, 2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 56, 57, 58, 59, 67, 72, 73, 74, 75, 76, 78, 80, 81, 82, 83, 89, 96, 97, 98, 99, 100
OFFSET
1,3
LINKS
MATHEMATICA
Select[Range[0, 200], DigitCount[#, 12, 5]==DigitCount[#, 12, 7]&] (* Harvey P. Dale, Jun 23 2011 *)
PROG
(PARI) base(n, b=16, s=0) = { local( a=[ n%b ]); while( 0<n\=b, a=concat( n%b, a )); if( s, s=32*s+23; Strchr( vectorsmall( #a, i, if(a[i]>9, s, 48)+a[i] )), a) }
list_A039255(MAX)=my(c=0); for(n=0, MAX, sum(k=1, #b=base(n, 12), (b[k]==5)-(b[k]==7)) & next; c++ & print1(n", ")) \\ M. F. Hasler, Sep 11 2009
(Magma) [n: n in [0..100] | Multiplicity(S, 5) eq Multiplicity(S, 7) where S is {*d: d in Intseq(n, 12)*}]; // Bruno Berselli, Oct 20 2012
CROSSREFS
Sequence in context: A231236 A346131 A151988 * A039196 A039147 A039107
KEYWORD
nonn,base,easy
EXTENSIONS
An incorrect g.f. was deleted by N. J. A. Sloane, Sep 13 2009 (cf. A151988).
STATUS
approved