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

1, 2, 3, 4, 5, 6, 7, 8, 9, 48, 247, 370, 378, 407, 481, 518, 592, 629, 1547, 26027, 26933, 45018, 69781, 80487, 123823, 289835, 1920261, 2137616, 2716713, 3100883, 3480140, 3934896, 4179451, 4830936, 5218958, 23203827

Offset

1,2

Comments

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

Links

Max Alekseyev, Table of n, a(n) for n = 1..53 (complete up to 10^10)

Example

           | 7 4 5 1 |
1547 = det | 1 7 4 5 |
           | 5 1 7 4 |
           | 4 5 1 7 |

Prog

(Python)
from sympy import Matrix
A219326_list = []
for n in range(1, 10**6):
    s = [int(d) for d in str(n)][::-1]
    m = len(s)
    if n == Matrix(m, m, lambda i, j: s[(i-j) % m]).det():
        A219326_list.append(n) # Chai Wah Wu, Oct 18 2021

Crossrefs

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

Sequence in context: A183532 A257829 A219327 * A335205 A349190 A252781

Adjacent sequences: A219323 A219324 A219325 * A219327 A219328 A219329

Keyword

base,nonn

Author

Max Alekseyev, Nov 17 2012

Status

approved