A303366 Numbers equal to the determinant of a circulant matrix based on the base-6 digits of n.

1, 2, 3, 4, 5, 320, 1936, 2761, 3421, 3732, 4043, 4354, 1697296, 2121620, 2970268, 3076349, 5222639, 8979475, 41657517, 63095140, 110416495, 488553143, 646839439, 1066194997, 1209597525, 1803581465, 1861934400, 2019744271, 2691271467, 2842031031, 3052726590, 7100897730, 10806417998

Offset

1,2

Comments

Base 6 variant of A219327. See A303367 .. A303369 for other bases.

Links

Table of n, a(n) for n=1..33.

Example

320 is in the sequence because 320 = 1252[6] (in base 6) and 320 = det [1,2,5,2; 2,1,2,5; 5,2,1,2; 2,5,2,1].

Mathematica

Select[Range[5000], #==Det[NestList[RotateRight, IntegerDigits[#, 6], IntegerLength[#, 6]-1]]&] (* The program generates the first 12 terms of the sequence. *) (* Harvey P. Dale, Mar 11 2024 *)

Prog

(PARI) (c(v)=abs(matdet(matrix(#v, #v, i, j, v[(j-i)%#v+1])))); for(n=1, oo, n==c(digits(n, 6))&&print1(n", "))

Crossrefs

Cf. A303367 (base 7), A303368 (base 8), A303369 (base 9), A219327 (base 10).

Sequence in context: A004878 A032546 A062942 * A037437 A061340 A004889

Adjacent sequences: A303363 A303364 A303365 * A303367 A303368 A303369

Keyword

nonn,base

Author

M. F. Hasler, May 05 2018

Extensions

a(13)-a(33) from Giovanni Resta, May 07 2018

Status

approved