A245428 Number of nonnegative integers with property that their base 10/3 expansion (see A024658) has n digits.
10, 30, 100, 330, 1100, 3670, 12230, 40770, 135900, 453000, 1510000, 5033330, 16777770, 55925900, 186419660, 621398870, 2071329570, 6904431900, 23014773000, 76715910000, 255719700000, 852399000000, 2841330000000, 9471100000000, 31570333333330, 105234444444430
Offset: 1
Examples
a(2) = 30 because 30, 31,.., 60, 61, .., 98 and 99 are the base 10/3 expansions for the integers 10, 11, .., 20, 21,.., 38, and 39 respectively and these are the only integers with 2 digits.
Programs
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Sage
A=[1] for i in [1..60]: A.append(ceil(((10-3)/3)*sum(A))) [10*x for x in A]
Comments