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Search: id:A067551
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| A067551 |
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Determinant of an n X n matrix whose diagonal are the first n Primes of alternating sign and all other elements are 1's. |
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+0
2
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| 2, -7, -32, 240, 2528, -34112, -563712, 10987520, 247459840, -7297638400, -222713856000, 8349585408000, 338297978880000, -14712528568320000, -684369944248320000, 36606670004551680000, 2142049437446307840000, -131713035645097082880000
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OFFSET
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1,1
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EXAMPLE
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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 ...
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MATHEMATICA
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Table[ Det[ DiagonalMatrix[ Table[ Prime[ i ]*(-1)^(i + 1) - 1, {i, 1, n} ] ] + 1 ], {n, 1, 20} ]
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CROSSREFS
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Sequence in context: A006957 A079265 A112006 this_sequence A080119 A162257 A055724
Adjacent sequences: A067548 A067549 A067550 this_sequence A067552 A067553 A067554
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KEYWORD
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sign
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 28 2002
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