|
| |
|
|
A067551
|
|
Determinant of an n X n matrix whose diagonal are the first n Primes of alternating sign and all other elements are 1's.
|
|
1
| |
|
|
2, -7, -32, 240, 2528, -34112, -563712, 10987520, 247459840, -7297638400, -222713856000, 8349585408000, 338297978880000, -14712528568320000, -684369944248320000, 36606670004551680000, 2142049437446307840000, -131713035645097082880000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
EXAMPLE
| The determinant begins:
2 1 1 1 1 1 1 ...
1 -3 1 1 1 1 1 ...
1 1 5 1 1 1 1 ...
1 1 1 -7 1 1 1 ...
1 1 1 1 11 1 1 ...
1 1 1 1 1 -13 1 ...
|
|
|
MATHEMATICA
| Table[ Det[ DiagonalMatrix[ Table[ Prime[ i ]*(-1)^(i + 1) - 1, {i, 1, n} ] ] + 1 ], {n, 1, 20} ]
|
|
|
CROSSREFS
| Sequence in context: A195983 A079265 A112006 * A080119 A162257 A055724
Adjacent sequences: A067548 A067549 A067550 * A067552 A067553 A067554
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 28 2002
|
| |
|
|
