login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A007789 From a problem concerning circulant matrices and Gauss sums. 3
1, 1, 0, 4, 1, 0, 13, 4, 27, 1, 1, 0, 25, 13, 0, 16, 1, 27, 37, 4, 0, 1, 1, 0, 25, 25, 81, 52, 1, 0, 61, 16, 0, 1, 13, 108, 73, 37, 0, 4, 1, 0, 85, 4, 27, 1, 1, 0, 133, 25, 0, 100, 1, 81, 1, 52, 0, 1, 1, 0, 121, 61 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
It is not clear from what problem concerning circulant matrices and Gauss sums the terms of the sequence come. (The same holds for the terms of the sequences A007790, A007791, and A007792, which were written by the same author.) In any case, some relevant references are provided below in the hope that one may decipher the sequence. - Petros Hadjicostas, Jul 03 2020
LINKS
Monique Combescure, Circulant matrices, Gauss sums and mutually unbiased bases, I. The prime number case, arXiv:0710.5642 [math-ph], 2007 (updated 2018).
George Danas, Note on the quadratic Gaussian sums, International Journal of Mathematics and Mathematical Sciences (IJMMS), 25(3) (2001), 167-173.
Robert M. Gray, Toeplitz and circulant matrices: A review, Foundations and Trends in Communications and Information Theory, 2(3) (2006), 155-239.
Robert M. Gray, Toeplitz and circulant matrices: A review, Foundations and Trends in Communications and Information Theory, 2(3) (2006), 155-239.
Bernard A. Mair, Zoltán Réti, David C. Wilson, Edward A. Geiser, and Bryan David, A q-series approach to deblurring the discrete Gaussian, Computer Vision and Image Understanding, 66(2) (1997), 247-254.
Zoltán Réti, Deblurring images blurred by the discrete Gaussian, Applied Mathematics Letters, 8(4) (1995), 29-35.
Bart M. ter Haar Romeny, Computer vision and Mathematica, Computing and Visualization in Science, 5 (2002), 53-65.
Wikipedia, Circulant matrix.
Wikipedia, Gaussian sum.
CROSSREFS
Sequence in context: A048516 A060638 A244125 * A345393 A081114 A069018
KEYWORD
nonn,more
AUTHOR
Zoltán Réti (reti(AT)math.ufl.edu)
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 21:57 EDT 2024. Contains 371254 sequences. (Running on oeis4.)