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Search: id:A067549
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| A067549 |
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Determinant of n X n matrix whose diagonal are the first n primes and all other elements are 1's. |
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+0
3
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| 2, 5, 22, 140, 1448, 17856, 291456, 5338368, 119102976, 3371378688, 102163230720, 3708532408320, 149444916019200, 6320831260262400, 292612319045222400, 15301128319716556800, 891900404470539878400
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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, n} ] ] + 1 ], {n, 1, 20} ]
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CROSSREFS
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Sequence in context: A020093 A111542 A001437 this_sequence A042933 A005203 A090450
Adjacent sequences: A067546 A067547 A067548 this_sequence A067550 A067551 A067552
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 28 2002
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