

A240909


The sequency numbers of the 16 rows of a HadamardWalsh 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(n1)*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 HadamardWalsh matrix, order 8.
Cf. A240910 "natural order" sequencies for HadamardWalsh matrix, order 32.
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: 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



