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 A095761 a(n) = A014824(2*n-1). 1
 1, 123, 12345, 1234567, 123456789, 12345679011, 1234567901233, 123456790123455, 12345679012345677, 1234567901234567899, 123456790123456790121, 12345679012345679012343 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Previous name was: Numbers whose square root shows strings of seemingly rational and irrational strings. LINKS Muniru A Asiru, Table of n, a(n) for n = 1..101 K. S. Brown, Schizophrenic numbers FORMULA a(1) = 1; for n > 1, a(n) = 100*a(n - 1) + 22*n - 21. O.g.f.: x(1+21x)/((-1+x)^2*(1-100x)) = -17/(81(-1+x)) - 1/(81(-1+100*x)) - 2/(9(-1+x)^2). - R. J. Mathar, Feb 01 2008 a(n) = -19/81 - (2/9)*(n-1) + (100/81)*100^(n-1), with n >= 1. - Paolo P. Lava, Sep 26 2008 MATHEMATICA RecurrenceTable[{a[1]==1, a[n]==100 a[n-1] + 22 n - 21}, a, {n, 20}] (* Vincenzo Librandi, Apr 03 2018 *) PROG (PARI) a=vector(10^3); a[1]=1; for(n=2, #a, a[n]=100*a[n-1]+22*n-21); a \\ Altug Alkan, Mar 30 2018 (GAP) a:=[1];; for n in [2..20] do a[n]:=100*a[n-1]+22*n-21; od; a; # Muniru A Asiru, Mar 30 2018 (MAGMA) [-19/81-(2/9)*(n-1)+(100/81)*100^(n-1): n in [1..20]]; // Vincenzo Librandi, Apr 03 2018 CROSSREFS Cf. A014824. Sequence in context: A098683 A324435 A135479 * A121917 A049670 A181006 Adjacent sequences:  A095758 A095759 A095760 * A095762 A095763 A095764 KEYWORD easy,nonn,base AUTHOR Michael Joseph Halm, Jul 10 2004 EXTENSIONS Better name from Georg Fischer, Mar 30 2018 STATUS approved

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Last modified June 30 05:57 EDT 2022. Contains 354914 sequences. (Running on oeis4.)