id:A105952 - OEIS Search Results

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(2n)-th Legendre polynomial P_{2n}(x), evaluated at x = 2n-1. Here the Legendre polynomials are normalized so that P_{n}(1) = 1.

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1, 321, 213445, 278905249, 610897146201, 2023268287369681, 9449986579423765453, 59214605458489033180545, 479530506556330198532943409, 4875296429727384973283863144801 (list; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`P_{4}(x) = 35/8x^4 - 15/4x^2 + 3/8; evaluating at x=3 gives 321.`
	MAPLE	`with(orthopoly, P); seq(P(2n, 2n-1), n=1..12);`
	CROSSREFS	`Sequence in context: A074350 A144124 A090101 this_sequence A062205 A054034 A004947` `Adjacent sequences: A105949 A105950 A105951 this_sequence A105953 A105954 A105955`
	KEYWORD	`easy,nonn`
	AUTHOR	`Isabel C. Lugo (izzycat(AT)gmail.com), Apr 27 2005`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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