login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240910 The sequency numbers of the 32 rows of a Hadamard-Walsh 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 (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 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(n-1) * 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 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.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 4 09:25 EST 2020. Contains 338921 sequences. (Running on oeis4.)