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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A206711 Total number of distinct Hadamard matrices of order 4n. 2
768, 4954521600, 20251509535014912000, 88526812916367202104587059200000, 3776127947893930552689423154306445475840000000, 92624181047745713568610317051197596401168530978226831360000000, 886156947284057553944669848348035536068124589065755283423684984832000000000000, 6326348471771854942942254850540801096975599808403992777086201935659972458534005637120000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is the total number of distinct Hadamard matrices of order 4n, ignoring all equivalences

LINKS

Table of n, a(n) for n=1..8.

J. Dong, V. Elser, G. Gyawali, K. Y. Jee, J. Kent-Dobias, A. Mandaiya, M. Renz, Y. Su, Glass phenomenology in the hard matrix model, arXiv:1912.07558 [cond-mat.stat-mech], 2019.

H. Kharaghani and B. Tayfeh-Rezaie, Hadamard matrices of order 32.

Index entries for sequences related to Hadamard matrices

FORMULA

a(n) = A048615(n)/A048616(n) * (2^n * n!)^2.

a(n) = A206712(4n).

CROSSREFS

Cf. A007299, A036297, A206711.

Sequence in context: A268970 A204625 A290271 * A308789 A046505 A229854

Adjacent sequences:  A206708 A206709 A206710 * A206712 A206713 A206714

KEYWORD

nonn,nice

AUTHOR

Brendan McKay, Feb 11 2012 (entered by N. J. A. Sloane)

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 July 15 22:38 EDT 2020. Contains 335774 sequences. (Running on oeis4.)