A303369 Numbers equal to the determinant of a circulant matrix based on the base-9 digits of n.

1, 2, 3, 4, 5, 6, 7, 8, 104, 126, 130, 468, 2035, 8052, 8421, 12100, 18788, 21296, 60736, 90155, 109135, 119795, 123201, 137605, 147095, 160965, 199728, 457856, 523809, 697334, 2958176, 3652360, 4725030, 5331625, 6825024, 7014400, 7694336, 9376133, 14012352

Offset

1,2

Comments

Base 9 variant of A219327. See A303366 .. A303368 for other bases.

Links

Table of n, a(n) for n=1..39.

Example

104 is in the sequence because 104 = 125[9] (in base 9) and 104 = det [1,2,5; 5,1,2; 2,5,1].

Prog

(PARI) (c(v)=abs(matdet(matrix(#v, #v, i, j, v[(j-i)%#v+1])))); for(n=1, oo, n==c(digits(n, 9))&&print1(n", "))

Crossrefs

Cf. A303366 (base 6), A303367 (base 7), A303368 (base 8), A219327 (base 10).

Sequence in context: A028430 A290148 A171717 * A154701 A004870 A037336

Adjacent sequences: A303366 A303367 A303368 * A303370 A303371 A303372

Keyword

nonn,base

Author

M. F. Hasler, May 05 2018

Extensions

a(31)-a(39) from Giovanni Resta, May 07 2018

Status

approved