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A128412 A scaled version of the coefficient array for orthogonal polynomials defined by C(2n,n). 2
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
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
KEYWORD
easy,sign,tabl
AUTHOR
Paul Barry, Mar 02 2007
STATUS
approved

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Last modified March 28 08:02 EDT 2024. Contains 371236 sequences. (Running on oeis4.)