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 A033119 Base-9 digits are, in order, the first n terms of the periodic sequence with initial period 1,0. 7
 1, 9, 82, 738, 6643, 59787, 538084, 4842756, 43584805, 392263245, 3530369206, 31773322854, 285959905687, 2573639151183, 23162752360648, 208464771245832, 1876182941212489, 16885646470912401, 151970818238211610 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Partial sums of A015577. - Mircea Merca, Dec 28 2010 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (9,1,-9). FORMULA a(n) = round((9*9^n-9)/80) = round((9*9^n-5)/80) = floor((9*9^n-1)/80) = ceiling((9*9-9)/80); a(n) = a(n-2) + 9^(n-1), n > 1. - Mircea Merca, Dec 28 2010 From Joerg Arndt, Jan 08 2011: (Start) G.f.: x / ( (x-1)*(9*x-1)*(1+x) ). a(n) = 9*a(n-1) + a(n-2) - 9*a(n-3). (End) EXAMPLE Base 9...........Decimal 1......................1 10.....................9 101...................82 1010.................738 10101...............6643 101010.............59787 1010101...........538084 10101010.........4842756 101010101.......43584805, etc. - Philippe Deléham, Mar 23 2014 MAPLE seq(floor((9*9^n-1)/80), n=1..25); # Mircea Merca, Dec 28 2010 MATHEMATICA Join[{a=1, b=9}, Table[c=8*b+9*a+1; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Feb 06 2011 *) Table[FromDigits[PadRight[{}, n, {1, 0}], 9], {n, 20}] (* Harvey P. Dale, May 26 2020 *) PROG (MAGMA) [Round((9*9^n-9)/80): n in [1..30]]; // Vincenzo Librandi, Jun 25 2011 CROSSREFS Cf. A015577. Sequence in context: A293803 A263817 A288789 * A033127 A099371 A334611 Adjacent sequences:  A033116 A033117 A033118 * A033120 A033121 A033122 KEYWORD nonn,base,easy AUTHOR STATUS approved

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Last modified April 12 22:03 EDT 2021. Contains 342933 sequences. (Running on oeis4.)