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A067560
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Determinant of n X n matrix whose rows are cyclic permutations of 1..n-th nonprime (A018252).
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0
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1, -15, -209, 3895, 58828, -987012, -32251150, 1259339776, 33525669556, -973603483875, -54655725143297, 3308661532816640, 125757090803564374, -5201646874854669888, -415867280417850247000, 19065322853430198710625, 898206693379667144028053
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Leonard Deuler, The n-th nonprime
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EXAMPLE
| a(4) = 3895 because this is the determinant of [(1,4,6,8), (4,6,8,1), (6,8,1,4), (8,1,4,6)]
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MATHEMATICA
| NonPrime[n_Integer] := FixedPoint[n + PrimePi[ # ] &, n + PrimePi[n]]; f[n_] := Module[{a = Table[ NonPrime[i], {i, 1, n} ], m = {}, k = 0}, While[k < n, m = Append[m, RotateLeft[a, k]]; k++ ]; Det[m]]; Table[ f[n], {n, 1, 18} ]
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CROSSREFS
| Sequence in context: A051813 A028230 A122572 * A019553 A112496 A000483
Adjacent sequences: A067557 A067558 A067559 * A067561 A067562 A067563
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KEYWORD
| easy,sign
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 29 2002
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