A095777 Number of terms generated for n in increasing bases starting at 2 until the last term with only decimal digits is reached, or 0 where the number of such terms would be infinite (n<10).

0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 9, 15, 10, 10, 11, 11, 11, 12, 12, 12, 13, 9, 13, 14, 10, 10, 15, 11, 11, 11, 12, 12, 9, 12, 13, 13, 10, 10, 14, 14, 11, 11, 11, 9, 12, 12, 12, 12, 10, 10, 13, 13, 13, 11

Offset

1,10

Links

Table of n, a(n) for n=1..75.

Example

a(30)=14 because 30 can be expressed in 14 successive bases (that is, bases 2 through 15) with no non-decimal digits as follows: 11110, 1010, 132, 110, 50, 42, 36, 33, 30, 28, 26, 24, 22, 20. In base 16, 30 is 1A.

Maple

S := []; for n from 1 to 200 do; if 1>0 then; ct := 0; ok := true; b := 2; if (n>9) then; while ok=true do; L := convert(n, base, b); for e in L while ok=true do; if (e > 9) then ok:=false; fi; od; if ok=true then; ct := ct + 1; b := b + 1; fi; od; fi; S := [op(S), ct]; fi; od; S;

Crossrefs

Sequence in context: A096166 A240919 A078548 * A168099 A004498 A171892

Adjacent sequences: A095774 A095775 A095776 * A095778 A095779 A095780

Keyword

base,nonn

Author

Chuck Seggelin (seqfan(AT)plastereddragon.com), Jun 05 2004

Status

approved