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 A119530 Determinant of n X n matrix of first n^2 odious numbers: odd number of 1's in binary expansion (A000069). 0
 1, -1, 12, 0, -409, 0, 4144, 0, 5040, 0, 142291, 0, 29139, 0, 0, 0, 0, 0, -71577990, 0, 3815616, 0, -288128476, 0, -248768000, 0, 0, 0, -28714176, 0, 0, 0, 0, 0, -6040500480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -795328048345114368 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..61. EXAMPLE a(3) = 12 = | 1 2 4| | 7 8 11| |13 14 16|. a(4) = 0 because of the singular matrix 0 = | 1 2 4 7| | 8 11 13 14| |16 19 21 22| |25 26 28 31|. a(6) = 0 because of the singular matrix whose lower right entry is 127. MATHEMATICA nn=10000; With[{xa=Select[Range[nn], OddQ[DigitCount[#, 2, 1]]&]}, Table[Det[ Partition[Take[xa, n^2], n]], {n, Floor[Sqrt[Length[xa]]]}]] (* Harvey P. Dale, Jun 28 2012 *) PROG (PARI) a(n)=matdet(matrix(n, n, i, j, k=(i-1)*n+j; 2*k-1-hammingweight(k-1)%2)) \\ Charles R Greathouse IV, Mar 29 2013 CROSSREFS Cf. A000069, A119493. Sequence in context: A307841 A257949 A077351 * A012332 A012455 A120954 Adjacent sequences: A119527 A119528 A119529 * A119531 A119532 A119533 KEYWORD sign AUTHOR Jonathan Vos Post, May 27 2006 EXTENSIONS More terms from Harvey P. Dale, Jun 28 2012 STATUS approved

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Last modified February 22 21:30 EST 2024. Contains 370265 sequences. (Running on oeis4.)