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 A178090 Coefficient array for orthogonal polynomials P(n,x)=x*P(n-1,x)-floor((n-1)/2)*P(n-2,x), P(0,x)=1,P(1,x)=x. 0
 1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, -2, 0, 1, 0, 2, 0, -4, 0, 1, 0, 0, 6, 0, -6, 0, 1, 0, -6, 0, 18, 0, -9, 0, 1, 0, 0, -24, 0, 36, 0, -12, 0, 1, 0, 24, 0, -96, 0, 72, 0, -16, 0, 1, 0, 0, 120, 0, -240, 0, 120, 0, -20, 0, 1, 0, -120, 0, 600, 0, -600, 0, 200, 0, -25, 0, 1, 0, 0, -720, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 COMMENTS Inverse is the unsigned version. LINKS FORMULA T(n,k)=[k<=n]*((1+(-1)^(n-k))/2)*((n-k)/2)!*C((n+k)/2-1-floor((k-1)/2), (n+k)/2-1-floor((k-1)/2)-floor(k/2)) *C((n+k)/2-1-floor(k/2),(n+k)/2-1-floor(k/2)-floor((k-1)/2))*(-1)^((n-k)/2). EXAMPLE Triangle begins 1, 0, 1, 0, 0, 1, 0, -1, 0, 1, 0, 0, -2, 0, 1, 0, 2, 0, -4, 0, 1, 0, 0, 6, 0, -6, 0, 1, 0, -6, 0, 18, 0, -9, 0, 1, 0, 0, -24, 0, 36, 0, -12, 0, 1, 0, 24, 0, -96, 0, 72, 0, -16, 0, 1, 0, 0, 120, 0, -240, 0, 120, 0, -20, 0, 1, 0, -120, 0, 600, 0, -600, 0, 200, 0, -25, 0, 1, 0, 0, -720, 0, 1800, 0, -1200, 0, 300, 0, -30, 0, 1 Product matrix of inverse is 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1 CROSSREFS Sequence in context: A054014 A158945 A156667 * A110914 A219200 A193527 Adjacent sequences:  A178087 A178088 A178089 * A178091 A178092 A178093 KEYWORD easy,sign,tabl AUTHOR Paul Barry, May 19 2010 STATUS approved

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Last modified June 25 07:53 EDT 2019. Contains 324347 sequences. (Running on oeis4.)