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A333330 2*n! 13 |
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2, 2, 4, 12, 48, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, 174356582400, 2615348736000, 41845579776000, 711374856192000, 12804747411456000, 243290200817664000, 4865804016353280000 (list; graph; refs; listen; history; text; internal format) |
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A333331 If n = 10*m+d with 0<=d<=9, a(n) = largest nonnegative integer k such that m^k does not contain the digit d (or -1 if there are infinitely many such k, -2 if no such k exists). 0 |
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0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1, 86, 91, 168, 153, 107, 71, 93, 71, 78, 108, 68, 43, 59, 84, 106, 91, 104, 101, 100, 56, 43, 33, 84, 51, 20, 33, 45, 27, 39, 54, 58, 42, 1, 23, 55, 0, 45, 53, 24, 65, 44, 41, 45, 35, 56, 64, 0, 18, 39, 22, 35, 30, 28, 20, 29, 25, 33, 39, 33, 61, 27, 22, 56, 51, 25, 22 (list; graph; refs; listen; history; text; internal format) |
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OFFSET |
OFFSET |
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0, |
0,1 |
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COMMENTS |
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Conjecture: a(n) <= 168 for all n, and a(n) = 168 only for n = 2*10^r+2 with r >= 1. |
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LINKS |
LINKS |
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Table of n, a(n) for n=0.. |
Table of n, a(n) for n=0..20. |
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PROG |
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(PARI) a(n)=for(k=0, 500, if(!setsearch(Set(digits((n\10)^(500-k))), n%10), if(k==0, return(-1), return(500-k)))); -2 |
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CROSSREFS |
CROSSREFS |
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For n![k]n!: (where [k] is the hyperoperation) |
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Sequence in context: A076250 A231425 A136713 * A224782 A160322 A198293 |
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A038507 (k=0), this sequence (k=1), A001044 (k=2), A046882 (k=3). |
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For k=4, this is the Pickover’s superfactorial. |
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Sequence in context: A287604 A007181 A100238 * A208529 A212660 A098774 |
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KEYWORD |
KEYWORD |
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nonn,changed |
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AUTHOR |
AUTHOR |
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Derek Schulze, Mar 14 2020 |
Derek Schulze, Mar 14 2020 |
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STATUS |
STATUS |
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editing |
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proposed |
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Revision as of 02:28, 7 September 2020
A333330 2*n! 13 2, 2, 4, 12, 48, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, 174356582400, 2615348736000, 41845579776000, 711374856192000, 12804747411456000, 243290200817664000, 4865804016353280000 (list; graph; refs; listen; history; text; internal format) OFFSET 0,1 LINKS Table of n, a(n) for n=0..20. CROSSREFS For n![k]n!: (where [k] is the hyperoperation) A038507 (k=0), this sequence (k=1), A001044 (k=2), A046882 (k=3). For k=4, this is the Pickover’s superfactorial. Sequence in context: A287604 A007181 A100238 * A208529 A212660 A098774 Adjacent sequences: A333327 A333328 A333329 * A333331 A333332 A333333 KEYWORD nonn,changed AUTHOR Derek Schulze, Mar 14 2020 STATUS editing