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A077268 Number of bases in which n requires at least one zero to be written. 2
0, 1, 1, 2, 2, 3, 1, 3, 3, 4, 3, 5, 2, 3, 3, 4, 3, 6, 4, 6, 4, 3, 2, 7, 3, 4, 5, 7, 4, 7, 2, 6, 5, 5, 6, 8, 4, 5, 5, 8, 3, 7, 2, 5, 6, 4, 3, 9, 4, 7, 7, 7, 4, 9, 6, 8, 4, 4, 3, 11, 3, 4, 5, 7, 7, 9, 4, 6, 6, 9, 4, 11, 5, 6, 8, 7, 7, 9, 4, 9, 6, 6, 5, 12, 6, 5, 5, 9, 4, 11, 5, 6, 4, 4, 5, 11, 4, 7, 8, 10, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Eric M. Schmidt, Table of n, a(n) for n = 1..10000

EXAMPLE

a(9)=3 since it requires zeros when written in bases 2, 3 or 9 (as 1001, 100 or 10 respectively).

PROG

(Sage) def A077268(n) : return sum(0 in n.digits(m) for m in range(2, n+1)) # Eric M. Schmidt, Jul 09 2014

(PARI) a(n) = sum(i=2, n, ! vecmin(digits(n, i))); \\ Michel Marcus, Jul 09 2014

CROSSREFS

Cf. A033093, A062842, A077266, A077267.

Sequence in context: A071681 A135621 A224764 * A088741 A162911 A245327

Adjacent sequences:  A077265 A077266 A077267 * A077269 A077270 A077271

KEYWORD

base,nonn

AUTHOR

Henry Bottomley, Nov 01 2002

STATUS

approved

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Last modified July 12 16:03 EDT 2020. Contains 335665 sequences. (Running on oeis4.)