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A303366
Numbers equal to the determinant of a circulant matrix based on the base-6 digits of n.
2
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.
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
KEYWORD
nonn,base
AUTHOR
M. F. Hasler, May 05 2018
EXTENSIONS
a(13)-a(33) from Giovanni Resta, May 07 2018
STATUS
approved