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

Author

M. F. Hasler, May 05 2018

Keywords

• nonn
• base

Comments

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

Examples

			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].
		

Crossrefs

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

Programs

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 *)

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","))

Extensions

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