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

 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 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.

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