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 A177191 Determinant of the n X n matrix whose element (r,c) is n for r = c, is -n for c>r, and 1 for c< r. 1
 1, 6, 60, 884, 17520, 439962, 13421632, 482342856, 19956724992, 934078894910, 48784858450944, 2812154505890556, 177324556062404608, 12140949539956154946, 896952532589585448960, 71119465538136504762128 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA a(n) = ( (2n)^n+n*(n-1)^n ) /(n+1). EXAMPLE a(5) = determinant of the (5 X 5) matrix = 17520. [ 5 -5 -5 -5 -5 ] [ 1 5 -5 -5 -5 ] [ 1 1 5 -5 -5 ] [ 1 1 1 5 -5 ] [ 1 1 1 1 5 ] MAPLE A177191 := proc(n)     ((2*n)^n+n*(n-1)^n)/(n+1) ; end proc: CROSSREFS Sequence in context: A066151 A000407 A099708 * A010040 A138379 A064815 Adjacent sequences:  A177188 A177189 A177190 * A177192 A177193 A177194 KEYWORD nonn AUTHOR Michel Lagneau, May 04 2010 STATUS approved

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