A245416 Number of nonnegative integers with property that their base 9/2 expansion (see A024650) has n digits.
9, 36, 162, 729, 3276, 14742, 66339, 298530, 1343385, 6045228, 27203526, 122415867, 550871406, 2478921327, 11155145967, 50198156856, 225891705852, 1016512676334, 4574307043503, 20584381695759, 92629717630920, 416833729339140, 1875751782026130
Offset: 1
Examples
The numbers 9-44 are represented by 20, 21, 22, 23, 24, 25, 26, 27, 28, 40, 41, 42, 43, 44, 45, 46, 47, 48, 60, 61, 62, 63, 64, 65, 66, 67, 68, 80, 81, 82, 83, 84, 85, 86, 87, 88 respectively in base 9/2. These are the only integers with two digits, and so a(2)=36.
Programs
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Sage
A=[1] for i in [1..60]: A.append(ceil((9-2)/2*sum(A))) [9*x for x in A]