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A106372
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Smallest number m containing no zeros in base n representation but at least one zero in all base b representations with 1<b<n.
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3
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1, 2, 6, 12, 20, 60, 147, 384, 896, 360, 1540, 2760, 2304, 11016, 13860, 6720, 123060, 255024, 658370, 1422720, 1425606, 1179360, 2920500, 12252240, 9989280, 24227280, 242573760, 68424048, 990208128, 410810400, 602751600
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OFFSET
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2,2
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COMMENTS
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a(46) = 854710136280. a(45) and all further terms are at least 10^13.
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LINKS
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EXAMPLE
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a(10)=896, A106370(896)=10: 896[base-9]='1205',
896[octal]='1600', 896[base-7]='2420', 896[base-6]='4052',
896[base-5]='12041', 896[base-4]='32000', 896[ternary]='1020012',
896[binary]='1110000000'.
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PROG
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(Haskell)
import Data.List (elemIndex); import Data.Maybe (fromJust)
a106372 = (+ 1) . fromJust . (`elemIndex` a106370_list)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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Generated a(33)-a(44) and a(46), with linked C++ program
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STATUS
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approved
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