A245419 Number of nonnegative integers with property that their base 8/3 expansion (see A024645) has n digits.
8, 16, 40, 112, 296, 792, 2112, 5632, 15016, 40040, 106776, 284736, 759296, 2024792, 5399440, 14398512, 38396032, 102389416, 273038440, 728102512, 1941606696, 5177617856, 13806980952, 36818615872, 98182975656, 261821268416, 698190049112, 1861840130960
Offset: 1
Examples
The numbers 8-23 are represented by 30, 31, 32, 33, 34, 35, 36, 37, 60, 61, 62, 63, 64, 65, 66, 67 respectively in base 8/3. These are the only integers with two digits, and so a(2)=16.
Programs
-
Sage
A=[1] for i in [1..60]: A.append(ceil((8-3)/3*sum(A))) [8*x for x in A]