login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A245426
Number of nonnegative integers with property that their base 7/4 expansion (see A024641) has n digits.
0
7, 7, 14, 21, 42, 70, 126, 217, 378, 665, 1162, 2037, 3563, 6237, 10913, 19096, 33418, 58485, 102347, 179109, 313439, 548520, 959910, 1679839, 2939720, 5144510, 9002889, 15755061, 27571355, 48249873, 84437276, 147765233, 258589156, 452531023, 791929292
OFFSET
1,1
EXAMPLE
The numbers 7-13 are represented by 40, 41, 42, 43, 44, 45, 46 respectively in base 7/4. These are the only integers with two digits, and so a(2)=7.
PROG
(Sage)
A=[1]
for i in [1..60]:
A.append(ceil((7-4)/4*sum(A)))
[7*x for x in A]
CROSSREFS
Sequence in context: A112438 A309459 A022090 * A168379 A179886 A214829
KEYWORD
nonn,base
AUTHOR
James Van Alstine, Jul 21 2014
STATUS
approved