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Search: id:A068183
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| A068183 |
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Largest number without decimal digits equal to 1, whose product of digits gives n!. |
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+0
10
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| 2, 32, 3222, 53222, 5332222, 75332222, 75332222222, 7533332222222, 755333322222222
(list; graph; listen)
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OFFSET
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2,1
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FORMULA
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a(n)=Max{x; f[x]=n!}, where x has no digit=1 and f[x_] := Apply[Times, IntegerDigits[x]].
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EXAMPLE
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Maximal solutions are obtained from concatenation of distinct all prime-factors which has one decimal digit. The sequence is finite because n! for n>10 has 2-digit prime-factors.
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CROSSREFS
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Cf. A000142, A001222, A002473, A067734, A068183-A068187, A068189-A068191.
Adjacent sequences: A068180 A068181 A068182 this_sequence A068184 A068185 A068186
Sequence in context: A088386 A093584 A117259 this_sequence A053853 A018241 A012599
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KEYWORD
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base,fini,nonn,full
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Feb 18 2002
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