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 A167576 The first column of the ED3 array A167572 7
 1, 5, 23, 167, 1473, 16413, 211479, 3192975, 54010305, 1030249845, 21566327895, 497334999735, 12405876372225, 335591130336525, 9716331072597975, 301633179343890975, 9941514351641143425, 348336799875365041125 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA a(n) = (-1)^(n)*(2*n-3)!!*((1)+(4*n-2)*sum((-1)^(k+n)/(2*k+1), k=0..n-1)) a(n) = (2*n-1)*a(n-1)+2*(-1)^n*(2*n-5)!! with a(1) = 1. a(n) = 4*a(n-1)+(4*n^2-16*n+15)*a(n-2) with a(1) = 1 and a(2) = 5 [According to Superseeker]. CROSSREFS Equals the first column of the ED3 array A167572. Equals the first right hand column of A167583. Other columns are A167577 and A167578. Cf. A097801 (the 2*(-1)^n*(2*n-5)!! factor). Cf. A007509 and A025547 (the sum((-1)^(k+n)/(2*k+1), k=0..n-1) factor). Sequence in context: A054749 A107204 A178383 * A116151 A198026 A198093 Adjacent sequences:  A167573 A167574 A167575 * A167577 A167578 A167579 KEYWORD easy,nonn AUTHOR Johannes W. Meijer, Nov 10 2009 STATUS approved

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