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Search: id:A072200
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| A072200 |
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a(n)-th factorial is the smallest factorial containing exactly n 6's, or 0 if no such number exists. |
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+0
9
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| 3, 15, 23, 26, 32, 41, 35, 45, 50, 72, 63, 83, 84, 98, 89, 94, 91, 121, 99, 142, 117, 160, 129, 0, 127, 131, 132, 154, 153, 163, 170, 179, 190, 178, 166, 189, 217, 209, 206, 174, 208, 199, 207, 211, 214, 245, 263, 175, 240, 255, 295, 234, 213, 296, 286, 266, 278
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OFFSET
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1,1
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COMMENT
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It is conjectured that a(24)=0 since no factorial < 10000 contained just 24 sixes.
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EXAMPLE
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a(2)=15 since 15-th factorial i.e. 15!=1307674368000 contains exactly two 6's.
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MATHEMATICA
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Do[k = 1; While[ Count[IntegerDigits[k! ], 6] != n, k++ ]; Print[k], {n, 1, 60}]
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CROSSREFS
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Cf. A072240, A072220, A072208, A072204, A072199, A072178, A072177, A072163 & A072124.
Sequence in context: A083795 A083793 A083934 this_sequence A106403 A060649 A009210
Adjacent sequences: A072197 A072198 A072199 this_sequence A072201 A072202 A072203
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KEYWORD
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base,nonn
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AUTHOR
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Shyam Sunder Gupta (guptass(AT)rediffmail.com), Jul 30 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 31 2002
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