A303367
Numbers equal to the determinant of a circulant matrix based on the base-7 digits of n.
Original entry on oeis.org
1, 2, 3, 4, 5, 6, 27, 81, 133, 143, 144, 152, 190, 209, 250, 1125, 8569, 10934, 16401, 237568, 362306, 391257, 695751, 723260, 5294625, 6056974, 6332291, 6523631, 6669475, 11128547, 12486285, 17417491, 18682225, 19429514, 19781014, 20924092, 21671381
Offset: 1
133 is in the sequence because 133 = 250[7] (in base 7) and 133 = det [2,5,0; 0,2,5; 5,0,2].
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(c(v)=abs(matdet(matrix(#v,#v,i,j,v[(j-i)%#v+1]))));for(n=1,oo,n==c(digits(n,7))&&print1(n","))
A303369
Numbers equal to the determinant of a circulant matrix based on the base-9 digits of n.
Original entry on oeis.org
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
104 is in the sequence because 104 = 125[9] (in base 9) and 104 = det [1,2,5; 5,1,2; 2,5,1].
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(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","))
A303366
Numbers equal to the determinant of a circulant matrix based on the base-6 digits of n.
Original entry on oeis.org
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
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].
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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 *)
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(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","))
Showing 1-3 of 3 results.
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