A007789 - OEIS

A007789

From a problem concerning circulant matrices and Gauss sums.

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

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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

Table of n, a(n) for n=0..61.

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.

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. A007790, A007791, A007792.

Sequence in context: A048516 A060638 A244125 * A345393 A081114 A069018

Adjacent sequences: A007786 A007787 A007788 * A007790 A007791 A007792

KEYWORD

nonn,more,changed

AUTHOR

Zoltan Reti

STATUS

approved