A370853 Numbers m such that c(0) < c(1) < c(2), where c(k) = number of k's in the ternary representation of m.

17, 23, 25, 53, 71, 77, 79, 134, 152, 158, 160, 161, 206, 212, 214, 215, 230, 232, 233, 238, 239, 241, 296, 314, 320, 322, 350, 386, 398, 402, 404, 422, 428, 430, 440, 452, 456, 458, 464, 466, 470, 474, 476, 478, 480, 482, 484, 485, 530, 536, 538, 554, 556

Offset: 1

Author

Clark Kimberling, Mar 03 2024

Keywords

• nonn
• base

Examples

			The ternary representation of 17 is 122, for which c(0)=0 < c(1)=1 < c(2)=2.
		

Links

• John Tyler Rascoe, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007089, A077267, A062756, A081603.

Cf. A370854, A370855, A370856, A370859, A370863, A370870.

Programs

Mathematica

Select[Range[1000], DigitCount[#, 3, 0] < DigitCount[#, 3, 1] < DigitCount[#, 3, 2] &]

PARI

check(m) = {my(c0=0, c1=0, c2=0, s=Vec(digits(m, 3)));
for(i=1, length(s), if(s[i]==0, c0+=1, if(s[i]==1, c1+=1, if(s[i]==2, c2+=1,))));
c0John Tyler Rascoe, Mar 11 2024