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Search: id:A112734
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| A112734 |
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Triangle of coefficients (read in increasing degree) of the polynomials whose roots are weights in Legendre-Gauss quadrature. |
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+0
1
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| -2, 1, -1, 1, -5, 9, 49, -216, 216, 5103, -32200, 45000, -58564, 629325, -2025000, 2025000, -1976763932, 27510743799, -113071253400, 142943535000, 4373849390625, -88878097916608, 606530263046400, -1707698764800000, 1707698764800000
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Legendre-Gauss Quadrature
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EXAMPLE
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Polynomials are -2 + x, -1 + x, -5 + 9*x, 49 - 216*x + 216*x^2, 5103 - 32200*x + 45000*x^2, ... hence we get
-2, 1; -1, 1; -5, 9; 49, -216, 216; 5103, -32200, 45000; ...
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CROSSREFS
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Adjacent sequences: A112731 A112732 A112733 this_sequence A112735 A112736 A112737
Sequence in context: A121395 A090628 A054387 this_sequence A060185 A129110 A112624
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KEYWORD
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sign,tabf
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Sep 16, 2005
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