A039382 Numbers whose base-9 representation has the same nonzero number of 3's and 8's.

35, 75, 116, 156, 197, 237, 251, 260, 269, 287, 296, 305, 314, 315, 316, 317, 319, 320, 321, 322, 359, 399, 440, 480, 521, 561, 602, 642, 651, 660, 669, 675, 676, 677, 679, 680, 681, 682, 687, 696, 705, 714, 764, 804, 845, 885, 926, 966, 980, 989, 998, 1016

Offset

1,1

Links

Iain Fox, Table of n, a(n) for n = 1..10000

Mathematica

Select[Range[1000], DigitCount[#, 9, 3]==DigitCount[#, 9, 8]>0&] (* Harvey P. Dale, Jun 12 2024 *)

Prog

(PARI) is(n) = { my(d = digits(n, 9), i = 0, j = 0); for(x=1, length(d), if(d[x] == 3, i++, if(d[x] == 8, j++))); return(i==j && i!=0); } \\ Iain Fox, Nov 21 2017
(MATLAB) x = 0:1016; d = dec2base(x, 9)-'0'; s1 = sum(d==3, 2); s2 = sum(d==8, 2); a = x(s1==s2 & s1>0); disp(regexprep(num2str(a), ' +', ', ')) % Chris R. Rehmann, Apr 12 2026

Crossrefs

Cf. A007095, A039101.

Cf. A039378, A039379, A039380, A039381.

Cf. A039364, A039371, A039377, A039386, A039389, A039391, A039392.

Sequence in context: A044137 A350055 A044518 * A043205 A043985 A254443

Adjacent sequences: A039379 A039380 A039381 * A039383 A039384 A039385

Keyword

nonn,base,easy

Author

Olivier Gérard

Status

approved