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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
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
Sequence in context: A307841 A257949 A077351 * A012332 A012455 A120954
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.)