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A106371
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Representation of n in base b, where b is minimal such that n contains no zeros: b = A106370(n).
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2
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1, 2, 11, 11, 12, 12, 111, 22, 21, 22, 23, 22, 111, 112, 1111, 121, 122, 33, 34, 32, 111, 211, 212, 44, 221, 222, 123, 44, 131, 132, 11111, 112, 113, 114, 55, 121, 211, 212, 213, 1111, 1112, 222, 1121, 1122, 231, 232, 233, 143, 1211, 1212, 123, 1221, 1222, 312
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OFFSET
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1,2
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COMMENTS
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In decimal representation feasible only for bases <= 10; A106371(11) = 360 = 2*11^2 + 10*11^1 + 8*11^0 is the first number which cannot be written zerofree with digits 1..9 in base 11. Therefore this sequence is finite with exactly 359 terms. - Reinhard Zumkeller, Apr 12 2015
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 1..359
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PROG
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(Haskell)
a106371 n = a106371_list !! (n-1)
a106371_list = map fromJust $ takeWhile (/= Nothing) $ map f [1..] where
f n = g 2 n where
g b x = h x 0 where
h 0 y = if b <= 10 then Just (a004086 y) else Nothing
h z y = if r == 0 then g (b + 1) n else h z' (10 * y + r)
where (z', r) = divMod z b
-- Reinhard Zumkeller, Apr 12 2015
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CROSSREFS
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Cf. A106370, A004086.
Sequence in context: A256665 A086862 A027828 * A145523 A168413 A153705
Adjacent sequences: A106368 A106369 A106370 * A106372 A106373 A106374
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KEYWORD
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nonn,base,fini,full
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AUTHOR
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Reinhard Zumkeller, May 01 2005
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STATUS
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approved
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