|
%I #11 Sep 08 2022 08:46:14
%S 1,1,10,101,1110,101010,10000100,110101101,10110010110,1001011111110,
%T 100000110011100,1110010110100010,110010110010001100,
%U 10110101010111110100,1010001100111100001000,100100111110111001111101,10000110111000001111100110,111101110100011100011110110,11100011110000011000000101100
%N Catalan numbers written in base 2.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CatalanNumber.html">Catalan Number</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Binary.html">Binary</a>
%F a(n) = A007088(A000108(n)).
%t Table[FromDigits[IntegerDigits[CatalanNumber[n], 2]], {n, 0, 18}]
%o (PARI) vector(30, n, n--; subst(Pol(binary(binomial(2*n,n)/(n+1))), 'x, 10)) \\ _Altug Alkan_, Nov 20 2015
%o (Magma) [Seqint(Intseq(Catalan(n), 2)): n in [0..20]]; // _Vincenzo Librandi_, Nov 21 2015
%Y Cf. A000108, A004676, A004685.
%K nonn,base
%O 0,3
%A _Ilya Gutkovskiy_, Nov 20 2015
|
