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Search: id:A036918
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| A036918 |
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Floor(e*(n-1)*(n-1)!)). |
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+0
3
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| 0, 2, 10, 48, 260, 1630, 11742, 95900, 876808, 8877690, 98641010, 1193556232, 15624736140, 220048367318, 3317652307270, 53319412081140, 909984632851472, 16436597430879730, 313262209859119578, 6282647653285676000
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OFFSET
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1,2
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COMMENT
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Also the number of positive integers with all distinct digits expressed in base n. E.g. a(10)=Sum[A073531(j); j=1...10]. - Labos E. (labos(AT)ana.sote.hu), Dec 05 2002
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EXAMPLE
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If base=3, then 10 all-distinct numbers exist: {1,2,12,21,123,132,213,231,312,321} so a(3)=10.
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MATHEMATICA
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Table[Apply[Plus, Table[((b-1)/b)*Binomial[b, j]*j!, {j, 1, b}]], {b, 1, 25}]
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CROSSREFS
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Cf. A073531, A073532.
a(n) = A001339(n)-1.
Equals (n-1) * A000522(n-1).
Sequence in context: A114693 A121950 A086853 this_sequence A166922 A129118 A037256
Adjacent sequences: A036915 A036916 A036917 this_sequence A036919 A036920 A036921
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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