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Search: id:A024356
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| A024356 |
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Determinant of Hankel matrix of the first 2n-1 prime numbers. |
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+0
4
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| 1, 2, 1, -2, 0, 288, -1728, -26240, 222272, 1636864, -8434688, -61820416, 238704640, 544024576, 3294658560, -71814283264, 359994671104, 17294535000064, 302441193013248, -2311203985948672, -11313883306262528
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Determinant of n X n matrix with entries prime(X+Y-1).
a(0) = 1 by convention.
I conjecture that a(4) is the only zero. - Jon Perry (perry(AT)globalnet.co.uk), Mar 22 2004
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EXAMPLE
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a(2) = 1 because det[[2,3],[3,5]] = 1
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PROGRAM
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(PARI) for (i=0, 20, print1(", "matdet(matrix(i, i, X, Y, prime(X+Y-1))))) (Perry)
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CROSSREFS
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Sequence in context: A139158 A055135 A121310 this_sequence A143947 A073781 A048622
Adjacent sequences: A024353 A024354 A024355 this_sequence A024357 A024358 A024359
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KEYWORD
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sign
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AUTHOR
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Jeffrey Shallit (shallit(AT)graceland.uwaterloo.ca), Jun 08 2000
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