

A240910


The sequency numbers of the 32 rows of a HadamardWalsh matrix, order 32.


4



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

1,2


COMMENTS

See A240908 for context. This sequence is the natural sequency ordering for an order 32 matrix.


LINKS

Table of n, a(n) for n=1..32.
N. J. A. Sloane, A Library of Hadamard Matrices
Eric Weisstein's World of Mathematics, Hadamard Matrix
Wikipedia, Walsh matrix


FORMULA

Recursion: H(2) = [1 1; 1 1]; H(n) = H(n1) * H(2), where * is the Kronecker matrix product.


EXAMPLE

This is a fixed length sequence of only 32 values, as given in full above.


CROSSREFS

Cf. A240908 "natural order" sequencies for HadamardWalsh matrix, order 8.
Cf. A240909 "natural order" sequencies for HadamardWalsh matrix, order 16.
Cf. A153141 "dyadic order" sequencies for HadamardWalsh matrix, all orders.
Cf. A000975(n) is sequency of last row of H(n).  William P. Orrick, Jun 28 2015
Sequence in context: A077397 A040933 A033351 * A297940 A298551 A066434
Adjacent sequences: A240907 A240908 A240909 * A240911 A240912 A240913


KEYWORD

nonn,fini,full


AUTHOR

Ross Drewe, Apr 14 2014


EXTENSIONS

Definition of H(n) corrected by William P. Orrick, Jun 28 2015


STATUS

approved



