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A036918
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Floor(e*(n-1)*(n-1)!)).
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2
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0, 2, 10, 48, 260, 1630, 11742, 95900, 876808, 8877690, 98641010, 1193556232, 15624736140, 220048367318, 3317652307270, 53319412081140, 909984632851472, 16436597430879730, 313262209859119578, 6282647653285676000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| 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
| Table[Apply[Plus, Table[((b-1)/b)*Binomial[b, j]*j!, {j, 1, b}]], {b, 1, 25}]
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CROSSREFS
| Cf. A073531, A073532.
a(n) = A001339(n)-1.
Equals (n-1) * A000522(n-1).
Sequence in context: A114693 A121950 A086853 * A200540 A166922 A129118
Adjacent sequences: A036915 A036916 A036917 * A036919 A036920 A036921
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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