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A240909 The sequency numbers of the 16 rows of a Hadamard-Walsh matrix of order 16. 3
0, 15, 7, 8, 3, 12, 4, 11, 1, 14, 6, 9, 2, 13, 5, 10 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A240908 for context. This sequence is the natural sequency ordering for an order 16 matrix.

LINKS

Table of n, a(n) for n=1..16.

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(n-1)*H(2), where * is Kronecker matrix product.

EXAMPLE

This is a fixed length sequence of only 16 values, as given.

CROSSREFS

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.

Cf. A000975(n) is sequency of last row of H(n). - William P. Orrick, Jun 28 2015

Sequence in context: A097532 A033335 A263400 * A133817 A173447 A168211

Adjacent sequences:  A240906 A240907 A240908 * A240910 A240911 A240912

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

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Last modified July 12 06:46 EDT 2020. Contains 335658 sequences. (Running on oeis4.)