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A177191
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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.
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1
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1, 6, 60, 884, 17520, 439962, 13421632, 482342856, 19956724992, 934078894910, 48784858450944, 2812154505890556, 177324556062404608, 12140949539956154946, 896952532589585448960, 71119465538136504762128
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = ( (2n)^n+n*(n-1)^n ) /(n+1).
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EXAMPLE
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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 ]
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MAPLE
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((2*n)^n+n*(n-1)^n)/(n+1) ;
end proc:
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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