A303366 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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

(list; graph; refs; listen; history; text; internal format)

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