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A147537 Numbers whose binary representation is the concatenation of 2n-1 digits 1 and n digits 0. 6

%I

%S 2,28,248,2032,16352,131008,1048448,8388352,67108352,536869888,

%T 4294965248,34359734272,274877898752,2199023239168,17592186011648,

%U 140737488289792,1125899906711552,9007199254478848,72057594037403648

%N Numbers whose binary representation is the concatenation of 2n-1 digits 1 and n digits 0.

%C a(n) is the number whose binary representation is A138118(n).

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (10,-16).

%F a(n) = 2^(n-1)*(4^n-2) = 2*A147590(n). a(n) = 10*a(n-1)-16*a(n-2). G.f.: 2*x*(4*x+1)/((2*x-1)*(8*x-1)). [_Colin Barker_, Nov 04 2012]

%t Table[FromDigits[Join[Table[1, {2n - 1}], Table[0, {n}]], 2], {n, 1, 20}] (* _Stefan Steinerberger_, Nov 11 2008 *)

%Y Cf. A138118.

%K base,easy,nonn

%O 1,1

%A _Omar E. Pol_, Nov 06 2008

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Last modified September 19 23:31 EDT 2019. Contains 327207 sequences. (Running on oeis4.)