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 A152775 Numbers with 3n binary digits where every run length is 3, written in binary. 4
 111, 111000, 111000111, 111000111000, 111000111000111, 111000111000111000, 111000111000111000111, 111000111000111000111000, 111000111000111000111000111, 111000111000111000111000111000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A152776 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 (1000,1,-1000). FORMULA From Colin Barker, Apr 20 2014: (Start) a(n) = (-1001-999*(-1)^n+2^(4+3*n)*125^(1+n))/18018. a(n) = 1000*a(n-1)+a(n-2)-1000*a(n-3). G.f.: 111*x / ((x-1)*(x+1)*(1000*x-1)). (End). EXAMPLE n ... a(n) .............. A152776(n) 1 ... 111 ............... 7 2 ... 111000 ............ 56 3 ... 111000111 ......... 455 4 ... 111000111000 ...... 3640 5 ... 111000111000111 ... 29127 MATHEMATICA FromDigits/@Table[Flatten[PadRight[{}, n, {a, b}]/.{a->{1, 1, 1}, b->{0, 0, 0}}], {n, 10}] (* Harvey P. Dale, Mar 23 2012 *) CoefficientList[Series[111/((x - 1) (x + 1) (1000 x - 1)), {x, 0, 20}], x] (* Vincenzo Librandi, Apr 21 2014 *) PROG (PARI) Vec(111*x / ((x-1)*(x+1)*(1000*x-1)) + O(x^100)) \\ Colin Barker, Apr 20 2014 CROSSREFS Cf. A043291, A153435, A152776. Sequence in context: A145698 A362920 A244845 * A362118 A242646 A242645 Adjacent sequences: A152772 A152773 A152774 * A152776 A152777 A152778 KEYWORD easy,nonn,base AUTHOR Omar E. Pol, Jan 18 2009 STATUS approved

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Last modified March 5 09:07 EST 2024. Contains 370543 sequences. (Running on oeis4.)