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 A178120 Coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2. 3
 1, -2, 1, 7, -6, 1, -36, 40, -12, 1, 253, -326, 131, -20, 1, -2278, 3233, -1552, 324, -30, 1, 25059, -38140, 20678, -5260, 675, -42, 1, -325768, 523456, -310560, 90754, -14380, 1252, -56, 1, 4886521, -8205244, 5223602, -1694244, 312059, -33866, 2135 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Inverse is A178121. First column is A112293 signed. LINKS EXAMPLE Triangle begins 1, -2, 1, 7, -6, 1, -36, 40, -12, 1, 253, -326, 131, -20, 1, -2278, 3233, -1552, 324, -30, 1, 25059, -38140, 20678, -5260, 675, -42, 1, -325768, 523456, -310560, 90754, -14380, 1252, -56, 1, 4886521, -8205244, 5223602, -1694244, 312059, -33866, 2135, -72, 1 Production matrix of inverse is 2, 1, 1, 4, 1, 0, 3, 6, 1, 0, 0, 5, 8, 1, 0, 0, 0, 7, 10, 1, 0, 0, 0, 0, 9, 12, 1, 0, 0, 0, 0, 0, 11, 14, 1, 0, 0, 0, 0, 0, 0, 13, 16, 1, 0, 0, 0, 0, 0, 0, 0, 15, 18, 1 MAPLE A178120 := proc(n, k)     if n = k then         1;     elif n = 1 and k = 0 then         -2 ;     elif k < 0 or k > n then         0 ;     else         -2*n*procname(n-1, k)+procname(n-1, k-1)-(2*n-3)*procname(n-2, k) ;     end if; end proc: # R. J. Mathar, Dec 03 2014 CROSSREFS Sequence in context: A157743 A135895 A039814 * A180568 A248950 A078301 Adjacent sequences:  A178117 A178118 A178119 * A178121 A178122 A178123 KEYWORD sign,easy,tabl AUTHOR Paul Barry, May 20 2010 STATUS approved

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Last modified September 21 15:25 EDT 2017. Contains 292300 sequences.