A245418 Number of nonnegative integers with property that their base 5/3 expansion (see A024633) has n digits.

5, 5, 10, 15, 25, 40, 70, 115, 190, 320, 530, 885, 1475, 2460, 4100, 6830, 11385, 18975, 31625, 52710, 87850, 146415, 244025, 406710, 677850, 1129750, 1882915, 3138190, 5230320, 8717200, 14528665, 24214440, 40357400, 67262335, 112103890, 186839820, 311399700

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Example

a(2) = 5 because 30, 31, 32, 33 and 34 are the base 5/3 expansions for the integers 5, 6, 7, 8 and 9 respectively and these are the only integers with 2 digits.

Prog

(Sage)
A=[1]
for i in [1..60]:
    A.append(ceil(((5-3)/3)*sum(A)))
[5*x for x in A]

Crossrefs

Cf. A024633, A245356, A081848.

Sequence in context: A242895 A242129 A022088 * A082450 A304266 A212344

Adjacent sequences: A245415 A245416 A245417 * A245419 A245420 A245421

Keyword

nonn,base

Author

Hailey R. Olafson, Jul 21 2014

Status

approved