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A219326 Positive integers m that are equal to the determinant of the circulant matrix formed by the decimal digits of m in reverse order. 6

%I #20 Oct 18 2021 15:19:28

%S 1,2,3,4,5,6,7,8,9,48,247,370,378,407,481,518,592,629,1547,26027,

%T 26933,45018,69781,80487,123823,289835,1920261,2137616,2716713,

%U 3100883,3480140,3934896,4179451,4830936,5218958,23203827

%N Positive integers m that are equal to the determinant of the circulant matrix formed by the decimal digits of m in reverse order.

%C Terms with odd number of digits are the same as in A219324.

%H Max Alekseyev, <a href="/A219326/b219326.txt">Table of n, a(n) for n = 1..53</a> (complete up to 10^10)

%e | 7 4 5 1 |

%e 1547 = det | 1 7 4 5 |

%e | 5 1 7 4 |

%e | 4 5 1 7 |

%o (Python)

%o from sympy import Matrix

%o A219326_list = []

%o for n in range(1,10**6):

%o s = [int(d) for d in str(n)][::-1]

%o m = len(s)

%o if n == Matrix(m, m, lambda i, j: s[(i-j) % m]).det():

%o A219326_list.append(n) # _Chai Wah Wu_, Oct 18 2021

%Y A219324 is the main entry for this sequence, provides references and further details.

%K base,nonn

%O 1,2

%A _Max Alekseyev_, Nov 17 2012

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)