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.

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

Adjacent sequences: A219324 A219325 A219326 * A219328 A219329 A219330

Keyword

base,nonn

Author

Max Alekseyev, Nov 17 2012

Extensions

a(53)-a(63) from Max Alekseyev, Feb 15 2013

Status

approved