A245425 Number of nonnegative integers with the property that their base 9/4 expansion (see A024652) has n digits.

9, 18, 36, 81, 180, 405, 918, 2061, 4635, 10431, 23472, 52812, 118827, 267363, 601560, 1353510, 3045402, 6852150, 15417342, 34689015, 78050286, 175613148, 395129583, 889041555, 2000343501, 4500772875, 10126738971, 22785162687, 51266616048, 115349886108

Offset

1,1

Links

Table of n, a(n) for n=1..30.

Example

The numbers 9-26 are represented by 40, 41, 42, 43, 44, 45, 46, 47, 48, 80, 81, 82, 83, 84, 85, 86, 87, 88 respectively in base 9/4. Since these are the only two digit integers we have a(2) = 18.

Prog

(Sage)
A=[1]
for i in [1..100]:
    A.append(ceil(((9-4)/4)*sum(A)))
[9*x for x in A]

Crossrefs

Cf. A024652, A245356, A081848.

Sequence in context: A033896 A195332 A005010 * A000547 A138900 A202187

Adjacent sequences: A245422 A245423 A245424 * A245426 A245427 A245428

Keyword

nonn,base

Author

Tom Edgar, Jul 21 2014

Status

approved