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A023811
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Largest metadrome (number with digits in strict ascending order) in base n.
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11
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0, 1, 5, 27, 194, 1865, 22875, 342391, 6053444, 123456789, 2853116705, 73686780563, 2103299351334, 65751519677857, 2234152501943159, 81985529216486895, 3231407272993502984, 136146740744970718253
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Also smallest zeroless pandigital number in base n. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 15 2006
The smallest permutational number in A134640 in the n-positional system - Artur Jasinski (grafix(AT)csl.pl), Nov 07 2007
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FORMULA
| Sum[ j (n)^(n-1-j), {j=1->n-1} ].
lim n->inf a(n)/a(n-1) - a(n-1)/a(n-2) = exp(1) - conjectured by Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Sep 26 2004, follows from following formula and lim(n->infinity (1+1/n)^n = e - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jan 25 2010.
a(n) =(n^n-n^2+n-1)/(n-1)^2 - 1 = A058128(n)-1 = n*A060073(n)-1 - Henry Bottomley (se16(AT)btinternet.com), Feb 21 2001.
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EXAMPLE
| a(5)=1234 base 5=125+50+15+4=194
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CROSSREFS
| Cf. A058128, A060073, A049363, A051846.
Sequence in context: A091101 A185622 A205774 * A126119 A105631 A167019
Adjacent sequences: A023808 A023809 A023810 * A023812 A023813 A023814
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KEYWORD
| nonn,easy,base
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
| Conjecture verified by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jan 25 2010
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