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 A323486 Least number k such that the determinant of the circulant matrix formed by its decimal digits is equal to n*k. 4
 1, 10168, 119700, 196, 1973082, 63980523693, 167037139360, 1350720096, 1543479071, 17239680, 4000206089, 219566358180, 104171259465, 2380649994, 113323907385, 14059155927, 19925280 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Eric W. Weisstein, MathWorld: Circulant Matrix Wikipedia, Circulant matrix EXAMPLE det | 1 | = 1 = 1*1. .           | 1 0 1 6 8|           | 8 1 0 1 6|       det | 6 8 1 0 1| = 20336 = 2*10168.           | 1 6 8 1 0|           | 0 1 6 8 1| MAPLE with(linalg): P:=proc(q) local a, b, c, d, i, j, k, n, t; for i from 1 to q do for n from 1 to q do d:=ilog10(n)+1; a:=convert(n, base, 10); c:=[]; for k from 1 to nops(a) do c:=[op(c), a[-k]]; od; t:=[op([]), c]; for k from 2 to d do b:=[op([]), c[nops(c)]]; for j from 1 to nops(c)-1 do b:=[op(b), c[j]]; od;  c:=b; t:=[op(t), c]; od; if i*n=det(t) then print(n); break; fi; od; od; end: P(10^7); CROSSREFS Cf. A219324, A323485. Sequence in context: A248487 A172810 A231030 * A153139 A243974 A251274 Adjacent sequences:  A323483 A323484 A323485 * A323487 A323488 A323489 KEYWORD nonn,base,more AUTHOR Paolo P. Lava, Jan 17 2019 EXTENSIONS a(6)-a(17) from Giovanni Resta, Jan 21 2019 STATUS approved

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Last modified April 23 03:11 EDT 2021. Contains 343198 sequences. (Running on oeis4.)