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 A112227 A scaled Hermite triangle. 0
 1, 0, 1, -2, 0, 1, 0, -6, 0, 1, 12, 0, -12, 0, 1, 0, 60, 0, -20, 0, 1, -120, 0, 180, 0, -30, 0, 1, 0, -840, 0, 420, 0, -42, 0, 1, 1680, 0, -3360, 0, 840, 0, -56, 0, 1, 0, 15120, 0, -10080, 0, 1512, 0, -72, 0, 1, -30240, 0, 75600, 0, -25200, 0, 2520, 0, -90, 0, 1, 0, -332640, 0, 277200, 0, -55440, 0, 3960, 0, -110, 0, 1, 665280, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Inverse of number triangle A067147. Diagonal sums are A002119. LINKS FORMULA Number triangle T(n, k)=A060821(n, k)/2^k; T(n, k)=n!/(k!*2^((n-k)/2)((n-k)/2)!)*cos(pi*(n-k)/2)*2^((n+k)/2)(1+(-1)^(n+k))/2^(k+1) T(n, k)=A001498((n+k)/2, (n-k)/2)*cos(pi(n-k)/2)*2^((n+k)/2)(1+(-1)^(n+k))/2^(k+1); Exponential Riordan array (e^(-x^2),x). - Paul Barry, Sep 12 2006 EXAMPLE Triangle begins 1; 0,1; -2,0,1; 0,-6,0,1; 12,0,-12,0,1; 0,60,0,-20,0,1; MATHEMATICA (* The function RiordanArray is defined in A256893. *) rows = 12; R = RiordanArray[E^(-#^2)&, #&, rows, True]; R // Flatten CROSSREFS Sequence in context: A265089 A166357 A067147 * A166378 A249820 A136579 Adjacent sequences:  A112224 A112225 A112226 * A112228 A112229 A112230 KEYWORD easy,sign,tabl AUTHOR Paul Barry, Aug 28 2005 STATUS approved

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Last modified May 17 12:55 EDT 2021. Contains 343971 sequences. (Running on oeis4.)