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Search: id:A058031
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| A058031 |
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Values of n^4-2*n^3+3*n^2-2*n+1, the Alexander polynomial for common knots. |
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3
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| 1, 1, 9, 49, 169, 441, 961, 1849, 3249, 5329, 8281, 12321, 17689, 24649, 33489, 44521, 58081, 74529, 94249, 117649, 145161, 177241, 214369, 257049, 305809, 361201, 423801, 494209, 573049, 660969, 758641, 866761, 986049, 1117249
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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"The standard knot invariant, in the pre-Jones era of knot theory, was the Alexander polynomial, invented in 1926. This assigns to each knot a polynomial in a variable t, which can be calculated by following a standard procedure." p. 503 of Courant and Robbins.
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REFERENCES
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Richard Courant and Herbert Robbins. What Is Mathematics? 2nd Ed. 1996. p. 501-505.
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CROSSREFS
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Sequence in context: A164343 A020245 A082608 this_sequence A027608 A003297 A012248
Adjacent sequences: A058028 A058029 A058030 this_sequence A058032 A058033 A058034
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KEYWORD
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nonn
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AUTHOR
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Jason C. Earls (je7972(AT)webtv.net), Nov 21 2000
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