The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A100706 Bisection of A002275. 9
 1, 111, 11111, 1111111, 111111111, 11111111111, 1111111111111, 111111111111111, 11111111111111111, 1111111111111111111, 111111111111111111111, 11111111111111111111111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also the binary representation of the n-th iteration of the elementary cellular automaton starting with a single ON (black) cell for Rules 151, 159, 183, 191, 215, 222, 223, 247, 254 and 255. - Robert Price, Feb 21 2016 The aerated sequence 1, 0, 111, 0, 11111, 0, 1111111, ... is a linear divisibility sequence of order 4. It is the case P1 = 0, P2 = -9^2, Q = -10 of the 3-parameter family of 4th-order linear divisibility sequences found by Williams and Guy. Cf. A007583, A095372 and A299960. - Peter Bala, Aug 28 2019 REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS Eric Weisstein's World of Mathematics, Elementary Cellular Automaton H. C. Williams and R. K. Guy, Some fourth-order linear divisibility sequences, Intl. J. Number Theory 7 (5) (2011) 1255-1277. H. C. Williams and R. K. Guy, Some Monoapparitic Fourth Order Linear Divisibility Sequences Integers, Volume 12A (2012) The John Selfridge Memorial Volume. S. Wolfram, A New Kind of Science Index entries for linear recurrences with constant coefficients, signature (101,-100). FORMULA Numbers composed entirely of 2*n+1 concatenated 1's for n >= 0. O.g.f.: (1+10*x)/((-1+x)*(-1+100*x)). - R. J. Mathar, Apr 03 2008 From Klaus Purath, Sep 23 2020: (Start) a(n) = Sum_{i = 0..2*n} 10^i. a(n) = 101*a(n-1) - 100*a(n-2). a(n) = 110*10^(2*n-2) + a(n-1). a(n) = 100*a(n-1) + 11. a(n) = (a(n-1)^2 - 1210*10^(2*n-4))/a(n-2). (End) MAPLE seq((10^(2*n+1) - 1)/9, n=0..15); # C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005 MATHEMATICA Table[(10^(2*n + 1) - 1)/9, {n, 0, 100}] (* Robert Price, Feb 21 2016 *) CROSSREFS Cf. A002275, A099814 (other bisection), A007583, A095372, A299960. Sequence in context: A265379 A265688 A138146 * A259102 A262629 A111864 Adjacent sequences:  A100703 A100704 A100705 * A100707 A100708 A100709 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Nov 19 2004 EXTENSIONS More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 18 02:38 EDT 2021. Contains 343072 sequences. (Running on oeis4.)