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Search: id:A067546
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| A067546 |
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Determinant of an n X n matrix whose diagonal are the first n non-Prime numbers and all other elements are 1's. |
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+0
1
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| 1, 3, 15, 105, 840, 7560, 83160, 1081080, 15135120, 227026800, 3859455600, 73329656400, 1466593128000, 30798455688000, 708364480824000, 17000747539776000, 425018688494400000, 11050485900854400000
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OFFSET
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1,2
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EXAMPLE
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The determinant begins:
1 1 1 1 1 1 1 ...
1 4 1 1 1 1 1 ...
1 1 6 1 1 1 1 ...
1 1 1 8 1 1 1 ...
1 1 1 1 9 1 1 ...
1 1 1 1 1 10 1 ...
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MATHEMATICA
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NonPrime[ n_Integer ] := FixedPoint[ n + PrimePi[ # ] &, n + PrimePi[ n ] ]; Table[ Det[ DiagonalMatrix[ Table[ NonPrime[ i ] - 1, {i, 1, n} ] ] + 1 ], {n, 1, 20} ]
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CROSSREFS
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Adjacent sequences: A067543 A067544 A067545 this_sequence A067547 A067548 A067549
Sequence in context: A025547 A088989 A001801 this_sequence A015682 A001147 A000268
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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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