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 A195460 2^(2*n+1) - 3*2^n - 1. 2
 1, 19, 103, 463, 1951, 7999, 32383, 130303, 522751, 2094079, 8382463, 33542143, 134193151, 536821759, 2147385343, 8589737983, 34359345151, 137438167039, 549754241023, 2199020109823, 8796086730751, 35184359505919, 140737463189503 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Binary numbers of the form (n)00(m) where n and m are the number of 1's, m is the index and n=m-1. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (7,-14,8). FORMULA a(n) = 2*a(n-1)+A052539(n) = a(n-1)+A103897(n) for n>1. G.f.: x*(1+12*x-16*x^2)/((1-x)*(1-2*x)*(1-4*x)). Bruno Berselli, Sep 19 2011 EXAMPLE First few terms in binary are 1, 10011, 1100111, 111001111, 11110011111, 1111100111111. PROG (PARI) a(n)=1<<(2*n+1)-3<

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Last modified May 27 02:41 EDT 2022. Contains 354093 sequences. (Running on oeis4.)