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Search: id:A072208
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| A072208 |
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a(n)-th factorial is the smallest factorial containing exactly n 8's, or 0 if no such number exists. |
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+0
9
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| 11, 9, 36, 16, 30, 27, 39, 33, 44, 58, 56, 64, 80, 70, 72, 94, 97, 71, 108, 143, 120, 134, 118, 162, 125, 133, 151, 137, 138, 159, 169, 197, 184, 171, 178, 176, 206, 177, 191, 208, 207, 240, 252, 232, 239, 270, 229, 308, 243, 223, 278, 257, 250, 0, 303, 242, 311
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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(54)=0 since no factorial < 10000 contained just 54 eights.
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EXAMPLE
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a(2)=9 since 9-th factorial i.e. 9!=362880 contains exactly two 8's.
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MATHEMATICA
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Do[k = 1; While[ Count[IntegerDigits[k! ], 8] != n, k++ ]; Print[k], {n, 1, 60}]
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CROSSREFS
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Cf. A072237, A072220, A072204, A072200, A072199, A072178, A072177, A072163 & A072124.
Sequence in context: A038322 A090075 A004500 this_sequence A038323 A121154 A078200
Adjacent sequences: A072205 A072206 A072207 this_sequence A072209 A072210 A072211
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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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