A128412 - OEIS

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A128412

A scaled version of the coefficient array for orthogonal polynomials defined by C(2n,n).

1, -2, 1, 4, -8, 1, -8, 36, -12, 1, 16, -128, 80, -16, 1, -32, 400, -400, 140, -20, 1, 64, -1152, 1680, -896, 216, -24, 1, -128, 3136, -6272, 4704, -1680, 308, -28, 1, 256, -8192, 21504, -21504, 10560, -2816 (list; table; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	COMMENTS	`Inverse is A128413.`
	LINKS	`Table of n, a(n) for n=0..41.`
	FORMULA	`Number triangle T(n,k)=A128411(n,k)/(2^(k-1)+0^k/2); Column k has g.f. if(k=0,1/(1+2x),(1-2x)*x^k/(1+2x)^(2k+1))).`
	EXAMPLE	`Triangle begins` `1,` `-2, 1,` `4, -8, 1,` `-8, 36, -12, 1,` `16, -128, 80, -16, 1,` `-32, 400, -400, 140, -20, 1,` `64, -1152, 1680, -896, 216, -24, 1,` `-128, 3136, -6272, 4704, -1680, 308, -28, 1,` `256, -8192, 21504, -21504, 10560, -2816, 416, -32, 1,` `-512, 20736, -69120, 88704, -57024, 20592, -4368, 540, -36, 1,` `1024, -51200, 211200, -337920, 274560, -128128, 36400, -6400, 680, -40, 1`
	CROSSREFS	`Sequence in context: A161381 A220579 A330787 * A221660 A221062 A220916` `Adjacent sequences: A128409 A128410 A128411 * A128413 A128414 A128415`
	KEYWORD	`easy,sign,tabl`
	AUTHOR	`Paul Barry, Mar 02 2007`
	STATUS	`approved`

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Last modified March 31 21:40 EDT 2023. Contains 361673 sequences. (Running on oeis4.)