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 A154807 Numbers with 5n binary digits where every run length is 5, written in binary. 3
 11111, 1111100000, 111110000011111, 11111000001111100000, 1111100000111110000011111, 111110000011111000001111100000, 11111000001111100000111110000011111, 1111100000111110000011111000001111100000, 111110000011111000001111100000111110000011111 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A154808 written in base 2. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..100 Index entries for linear recurrences with constant coefficients, signature (100000,1,-100000). FORMULA From Colin Barker, Apr 20 2014: (Start) a(n) = (-100001-99999*(-1)^n+2^(6+5*n)*3125^(1+n))/1800018. a(n) = 100000*a(n-1)+a(n-2)-100000*a(n-3). G.f.: 11111*x / ((x-1)*(x+1)*(100000*x-1)). (End) EXAMPLE n ... a(n) ........................ A154808(n) 1 ... 11111 ....................... 31 2 ... 1111100000 .................. 992 3 ... 111110000011111 ............. 31775 4 ... 11111000001111100000 ........ 1016800 5 ... 1111100000111110000011111 ... 32537631 MATHEMATICA CoefficientList[Series[11111/((x - 1) (x + 1) (100000 x - 1)), {x, 0, 10}], x] (* Vincenzo Librandi, Apr 22 2014 *) LinearRecurrence[{100000, 1, -100000}, {11111, 1111100000, 111110000011111}, 20] (* Harvey P. Dale, Aug 08 2023 *) PROG (PARI) Vec(11111*x/((x-1)*(x+1)*(100000*x-1)) + O(x^100)) \\ Colin Barker, Apr 20 2014 CROSSREFS Cf. A152775, A153435, A154805, A154808. Sequence in context: A115810 A262497 A291946 * A076164 A234661 A261778 Adjacent sequences: A154804 A154805 A154806 * A154808 A154809 A154810 KEYWORD easy,nonn,base AUTHOR Omar E. Pol, Jan 25 2009 EXTENSIONS More terms from Colin Barker, Apr 20 2014 STATUS approved

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Last modified July 23 06:43 EDT 2024. Contains 374544 sequences. (Running on oeis4.)