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A072244
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Smallest factorial containing exactly n 4's.
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1
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24, 121645100408832000, 51090942171709440000, 620448401733239439360000, 2658271574788448768043625811014615890319638528000000000, 1405006117752879898543142606244511569936384000000000, 30414093201713378043612608166064768844377641568960512000000000000, 40526919504877216755680601905432322134980384796226602145184481280000000000000
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(2)=121645100408832000 so 121645100408832000 is the smallest factorial containing exactly two 4's.
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MATHEMATICA
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Table[SelectFirst[Table[With[{c=n!}, {c, DigitCount[c, 10, 4]}], {n, 100}], #[[2]] == k&], {k, 8}][[All, 1]] (* Harvey P. Dale, Nov 18 2021 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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