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Search: id:A074040
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| A074040 |
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Product of first n twin prime pair products. |
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+0
3
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| 15, 525, 75075, 24249225, 21800053275, 38433493923825, 138322144631846175, 716923675626858725025, 7458156997546211316435075, 86984485062381462583582279725, 1656445549042930191979157352803175
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OFFSET
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1,1
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COMMENT
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a(n) = A048599(2*n).
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FORMULA
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a(1) = A037074(1) and a(n) = a(n-1)*A037074(n) for n>1.
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EXAMPLE
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The first two twin prime pairs are (3,5) and (5*7), their products: 15 and 35, therefore a(2)=15*35=525.
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MATHEMATICA
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a = {4, 6, 12, 18, 30, 42, 60, 72, 102, 108, 138, 150} (* A014574 *); Table[ Product[a[[k]]^2 - 1, {k, 1, n}], {n, 1, 12}]
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CROSSREFS
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Cf. A074041, A001359, A006512 & A014574.
Sequence in context: A004703 A092561 A009068 this_sequence A002403 A077206 A061174
Adjacent sequences: A074037 A074038 A074039 this_sequence A074041 A074042 A074043
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 13 2002
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 17 2002
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