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

1,1

Links

Table of n, a(n) for n=1..26.

Example

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.

Prog

(Sage)
A=[1]
for i in [1..60]:
    A.append(ceil(((10-3)/3)*sum(A)))
[10*x for x in A]

Crossrefs

Cf. A024658, A081848, A245356.

Sequence in context: A005052 A057344 A115134 * A307307 A185829 A301664

Adjacent sequences: A245425 A245426 A245427 * A245429 A245430 A245431

Keyword

nonn,base

Author

Hailey R. Olafson, Jul 21 2014

Status

approved