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 A083445 Largest n-digit number minus the product of its digits; i.e., a(n) = 99999... (n 9's) - 9^n. 2
 18, 270, 3438, 40950, 468558, 5217030, 56953278, 612579510, 6513215598, 68618940390, 717570463518, 7458134171670, 77123207545038, 794108867905350, 8146979811148158, 83322818300333430, 849905364703000878, 8649148282327007910, 87842334540943071198 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 2..1000 Index entries for linear recurrences with constant coefficients, signature (20, -109, 90). FORMULA a(n) = (10^n - 1) - 9^n. a(n) = 20*a(n-1) - 109*a(n-2) + 90*a(n-3) with a(2)=18, a(3)=270, a(4)=3438. - Harvey P. Dale, Sep 05 2015 G.f.: 18*x^2*(1 - 5*x) / ((1 - x)*(1 - 9*x)*(1 - 10*x)). - Colin Barker, Jul 29 2017 MATHEMATICA Table[10^n-9^n-1, {n, 2, 20}] (* or *) LinearRecurrence[{20, -109, 90}, {18, 270, 3438}, 20] (* Harvey P. Dale, Sep 05 2015 *) PROG (Magma) [(10^n-1)-9^n: n in [2..20]]; // Vincenzo Librandi, Jul 29 2017 (PARI) Vec(18*x^2*(1 - 5*x) / ((1 - x)*(1 - 9*x)*(1 - 10*x)) + O(x^30)) \\ Colin Barker, Jul 29 2017 CROSSREFS Cf. A083446. Sequence in context: A080583 A273589 A076693 * A159740 A115903 A004357 Adjacent sequences: A083442 A083443 A083444 * A083446 A083447 A083448 KEYWORD base,easy,nonn AUTHOR Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 01 2003 EXTENSIONS More terms from Michel ten Voorde Jun 13 2003 STATUS approved

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Last modified May 26 12:10 EDT 2024. Contains 372826 sequences. (Running on oeis4.)