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Search: id:A119839
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| A119839 |
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Least increasing sequence of primes equal to determinants of sequence A119839 starting (1,1,1) of continuous blocks of 4 numbers. |
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+0
2
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| 0, 0, 0, 2, 5, 7, 13, 23, 149, 277, 331, 9433
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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The associated sequence of elements of the determinants is A119838 = 1, 1, 1, 3, 8, 31, 87, 340, 959, 3751, 10581, 41396.
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FORMULA
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a(0) = a(1) = a(2) = 0 (or any arbitrary nonprime < 2); for n>2: a(n) = min{prime p = a(n)*a(n-3) - a(n-1)*a(n-2) where a(n) = A119838(n)}. Prime p = determinant [a(n-3),a(n-2),a(n-1),a(n)] = a(n)*a(n-3) - a(n-1)*a(n-2) is a prime greater than any previous prime in this sequence, where a(n) = A119838(n).
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EXAMPLE
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a(6) = 13 because the of the prime determinant formed from a(3,4,5,6) = (3,8,31,87) namely 13 =
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|31.87|.
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CROSSREFS
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Cf. A000040, A119838.
Sequence in context: A095281 A106889 A155028 this_sequence A107057 A038945 A141112
Adjacent sequences: A119836 A119837 A119838 this_sequence A119840 A119841 A119842
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), May 25 2006
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