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Search: id:A118875
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| A118875 |
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Determinant of n-th continuous block of 9 consecutive squares of primes. |
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1
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| -213720, 114432, -548352, 892800, -1774080, -7289856, 10105344, -79557120, -97790976, 171740160, 147556224, 56531520, -380053440, 122206464, -164292480, -958000320, 394761600, 189907200, -1495428480, -4260988800, -14501393280, 7022695680, -3345955200, -26017441920
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Quadratic analogue of analogue of A117330 Determinants of 3 X 3 matrices of continuous blocks of 9 consecutive primes. See also: A001248 Squares of primes. The terminology "continuous" is used to distinguish from "discrete" which would be block 1: 4, 9, 25, 49, 121, 169, 289, 361, 529; block 2: 841, 961, 1369, 1681, 1849, 2209, 2809, 3481, 3721; and so forth.
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FORMULA
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a(n) = prime(n)^2*prime(n+3)^2 - prime(n+1)^2*prime(n+2)^2.
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EXAMPLE
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a(1) = -213720 =
|..4....9...25.|
|.49..121..169.|
|289..361..529.|.
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CROSSREFS
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Cf. A000040, A001248, A117301, A117330.
Sequence in context: A158993 A143641 A083639 this_sequence A077640 A078520 A019291
Adjacent sequences: A118872 A118873 A118874 this_sequence A118876 A118877 A118878
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KEYWORD
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easy,sign
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), May 24 2006
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