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Numbers k such that string 0,2 occurs in the base-3 representation of k but not of k+1.
1

%I #9 Nov 20 2021 11:37:28

%S 11,20,29,35,38,47,56,62,65,74,83,89,92,107,110,116,119,128,137,143,

%T 146,155,164,170,173,188,191,197,200,209,218,224,227,236,245,251,254,

%U 269,272,278,281,290,323,326,332,335,350,353,359,362,371,380,386,389,398

%N Numbers k such that string 0,2 occurs in the base-3 representation of k but not of k+1.

%o (Python)

%o from sympy.ntheory import digits

%o def cond(n): return "02" in "".join(map(str, digits(n, 3)))

%o def ok(n): return cond(n) and not cond(n+1)

%o print([k for k in range(400) if ok(k)]) # _Michael S. Branicky_, Nov 20 2021

%Y Cf. A007089, A044054.

%K nonn,base

%O 1,1

%A _Clark Kimberling_