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 A260217 Number of base-3 n-digit pandigital numbers. 0
 0, 0, 4, 24, 100, 360, 1204, 3864, 12100, 37320, 114004, 346104, 1046500, 3155880, 9500404, 28566744, 85831300, 257756040, 773792404, 2322425784, 6969374500, 20912317800, 62745342004, 188252803224, 564791964100, 1694443001160, 5083463221204, 15250658099064 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS FORMULA a(n) = 2*A028243(n) = 2*3^(n-1) - 2^(n+1) + 2. a(n) = 4*A000392(n). G.f.: 4*x^3/((1-x)*(1-2*x)*(1-3*x)). E.g.f.: 2/3*((exp(x)-1)^3). EXAMPLE a(3)=4 because, in base 3, there are four 3-digit pandigital numbers (11=102_3, 15=120_3, 19=201_3, and 21=210_3). a(4)=24 because, in base 3, there are 24 4-digit pandigital numbers (1002_3, 1012_3, 1020_3, 1021_3, 1022_3, 1102_3, 1120_3, 1200_3, 1201_3, 1202_3, 1210_3, 1220_3, 2001_3, 2010_3, 2011_3, 2012_3, 2021_3, 2100_3, 2101_3, 2102_3, 2110_3, 2120_3, 2201_3, and 2210_3). MATHEMATICA Table[2 3^(n - 1) - 2^(n + 1) + 2, {n, 30}] (* Vincenzo Librandi, Jul 20 2015 *) PROG (MAGMA) [2*3^(n-1) - 2^(n+1) + 2: n in [1..30]]; // Vincenzo Librandi, Jul 20 2015 CROSSREFS Cf. A000392, A028243, A171102. Sequence in context: A139238 A139231 A052462 * A048806 A043009 A006736 Adjacent sequences:  A260214 A260215 A260216 * A260218 A260219 A260220 KEYWORD nonn,base AUTHOR Jon E. Schoenfield, Jul 19 2015 STATUS approved

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Last modified December 9 22:27 EST 2019. Contains 329880 sequences. (Running on oeis4.)