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A240909
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The sequency numbers of the 16 rows of a Hadamard-Walsh matrix of order 16.
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3
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0, 15, 7, 8, 3, 12, 4, 11, 1, 14, 6, 9, 2, 13, 5, 10
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OFFSET
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1,2
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COMMENTS
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See A240908 for context. This sequence is the natural sequency ordering for an order 16 matrix.
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LINKS
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FORMULA
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Recursion: H(2)=[1 1; 1 -1]; H(n) = H(n-1)*H(2), where * is Kronecker matrix product.
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EXAMPLE
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This is a fixed length sequence of only 16 values, as given.
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CROSSREFS
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Cf. A240908 "natural order" sequencies for Hadamard-Walsh matrix, order 8.
Cf. A240910 "natural order" sequencies for Hadamard-Walsh matrix, order 32.
Cf. A153141 "dyadic order" sequencies for Hadamard-Walsh matrix, all orders.
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KEYWORD
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nonn,fini,full
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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