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A264663 Catalan numbers written in base 2. 4
1, 1, 10, 101, 1110, 101010, 10000100, 110101101, 10110010110, 1001011111110, 100000110011100, 1110010110100010, 110010110010001100, 10110101010111110100, 1010001100111100001000, 100100111110111001111101, 10000110111000001111100110, 111101110100011100011110110, 11100011110000011000000101100 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

Eric Weisstein's World of Mathematics, Catalan Number

Eric Weisstein's World of Mathematics, Binary

FORMULA

a(n) = A007088(A000108(n)).

MATHEMATICA

Table[FromDigits[IntegerDigits[CatalanNumber[n], 2]], {n, 0, 18}]

PROG

(PARI) vector(30, n, n--; subst(Pol(binary(binomial(2*n, n)/(n+1))), 'x, 10)) \\ Altug Alkan, Nov 20 2015

(MAGMA) [Seqint(Intseq(Catalan(n), 2)): n in [0..20]]; // Vincenzo Librandi, Nov 21 2015

CROSSREFS

Cf. A000108, A004676, A004685.

Sequence in context: A290412 A288903 A289038 * A290525 A290548 A290813

Adjacent sequences:  A264660 A264661 A264662 * A264664 A264665 A264666

KEYWORD

nonn,base

AUTHOR

Ilya Gutkovskiy, Nov 20 2015

STATUS

approved

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Last modified December 11 16:02 EST 2017. Contains 295905 sequences.