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A007792 From a problem concerning circulant matrices and Gauss sums. 3
1, 8, 81, 640, 821, 648, 9031, 14336, 32805, 6568, 17051, 51840, 122461, 72248, 66501, 360448, 92753, 262440, 586531 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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 A007789, A007790, and A007791, 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

Table of n, a(n) for n=0..18.

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

Cf. A007789, A007790, A007791.

Sequence in context: A240480 A274752 A240632 * A301837 A264185 A302065

Adjacent sequences:  A007789 A007790 A007791 * A007793 A007794 A007795

KEYWORD

nonn,more

AUTHOR

Zoltán Réti (reti(AT)math.ufl.edu)

STATUS

approved

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Last modified August 17 11:25 EDT 2022. Contains 356187 sequences. (Running on oeis4.)