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URL: https://oeis.org/A219327

⇱ A219327 - OEIS

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A219327
Positive integers k that are equal to the absolute value of the determinant of the circulant matrix formed by the decimal digits of k.
10
1, 2, 3, 4, 5, 6, 7, 8, 9, 48, 247, 370, 378, 407, 481, 518, 592, 629, 1360, 1547, 3075, 26027, 26933, 45018, 69781, 80487, 123823, 154791, 289835, 1920261, 2137616, 2716713, 3100883, 3480140, 3934896, 4179451, 4830936, 5218958, 11955168, 23203827, 80651025, 95738203
OFFSET
1,2
COMMENTS
Contains A219324 and A219326 as subsequences.
Equal to the sequence defined by replacing circulant matrices with left circulant matrices. - Chai Wah Wu, Oct 18 2021
LINKS
Robert G. Wilson v and Max Alekseyev, Table of n, a(n) for n = 1..63 (complete up to 10^10)
PROG
(Python)
from sympy import Matrix
A219327_list = []
for n in range(1, 10**6):
s = [int(d) for d in str(n)]
m = len(s)
if n == abs(Matrix(m, m, lambda i, j: s[(i-j) % m]).det()):
A219327_list.append(n) # Chai Wah Wu, Oct 18 2021
CROSSREFS
A219324, the main entry for this sequence, provides references and further details.
Cf. A219326.
Sequence in context: A302501 A183532 A257829 * A219326 A335205 A349190
KEYWORD
base,nonn
AUTHOR
Max Alekseyev, Nov 17 2012
EXTENSIONS
a(53)-a(63) from Max Alekseyev, Feb 15 2013
STATUS
approved