|
| |
|
|
A119498
|
|
Consider the sign of A067276: determinant of n X n matrix containing the first n^2 primes in increasing order; then a(n) = 0 if negative and 1 if positive.
|
|
0
| |
|
|
1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| The determinant of A can never be 0 since there is an even prime in the mix.
Conjecture: This sequence never cycles.
Positions where the race between the zeros and the ones is tied: 2,4,16,34,36,38,40,42,46,66,78,80,82,84, ...,.
|
|
|
MATHEMATICA
| f[n_] := Sign@ Det@ Partition[ Array[Prime, n^2], n]; Array[f, 105] /. -1 -> 0
|
|
|
CROSSREFS
| Cf. A000040, A067276.
Sequence in context: A112526 A120523 A030315 * A070912 A014108 A014207
Adjacent sequences: A119495 A119496 A119497 * A119499 A119500 A119501
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), May 26 2006
|
| |
|
|
