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A036918
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a(n) = floor(e*(n-1)*(n-1)!).
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4
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0, 2, 10, 48, 260, 1630, 11742, 95900, 876808, 8877690, 98641010, 1193556232, 15624736140, 220048367318, 3317652307270, 53319412081140, 909984632851472, 16436597430879730, 313262209859119578, 6282647653285676000, 132266266384961600020, 2916471173788403280462
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OFFSET
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1,2
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COMMENTS
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Also the number of positive integers with all distinct digits expressed in base n. E.g., a(10) = Sum_{j=1..10} A073531(j). - Labos Elemer, Dec 05 2002
For example, for n=3 we have 1, 2, 10, 12, 20, 21, 102, 120, 201, 210 (10 numbers in total). - Igor Krasikov, Aug 14 2023
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LINKS
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FORMULA
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G.f.: Q(0)/(2*x) - 1/x - 1/(1-x), where Q(k) = 1 + 1/(1 - x*(k+1)/(x*(k+1) + (1-x)/Q(k+1) )); (continued fraction). - Sergei N. Gladkovskii, Aug 08 2013
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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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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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