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A240910
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The sequency numbers of the 32 rows of a Hadamard-Walsh matrix, order 32.
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4
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0, 31, 15, 16, 7, 24, 8, 23, 3, 28, 12, 19, 4, 27, 11, 20, 1, 30, 14, 17, 6, 25, 9, 22, 2, 29, 13, 18, 5, 26, 10, 21
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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 32 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 the Kronecker matrix product.
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EXAMPLE
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This is a fixed length sequence of only 32 values, as given in full above.
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CROSSREFS
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Cf. A240908 "natural order" sequencies for Hadamard-Walsh matrix, order 8.
Cf. A240909 "natural order" sequencies for Hadamard-Walsh matrix, order 16.
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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