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A368804
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Irregular triangle read by rows: T(n,k) is the k-th balanced binary word of length 2*n, where words within a row are in lexicographical order (with leading zeros removed and interpreted as decimal numbers).
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6
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1, 10, 11, 101, 110, 1001, 1010, 1100, 111, 1011, 1101, 1110, 10011, 10101, 10110, 11001, 11010, 11100, 100011, 100101, 100110, 101001, 101010, 101100, 110001, 110010, 110100, 111000, 1111, 10111, 11011, 11101, 11110, 100111, 101011, 101101, 101110, 110011, 110101, 110110
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OFFSET
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1,2
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COMMENTS
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A balanced binary word is composed of the same number of zeros and ones.
This is triangle A362030 with terms converted to binary and interpreted as decimal numbers.
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LINKS
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EXAMPLE
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Triangle begins (where terms in row n are padded with zeros on the left to form a 2*n word):
[1] 01 10;
[2] 0011 0101 0110 1001 1010 1100;
[3] 000111 001011 001101 001110 010011 010101 010110 011001 011010 011100 ... ;
...
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MATHEMATICA
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words[n_]:=Permutations[PadLeft[PadLeft[{}, n, 1], 2n]];
Array[Map[FromDigits, words[#]]&, 4]
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CROSSREFS
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KEYWORD
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nonn,tabf,base,easy
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AUTHOR
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STATUS
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approved
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