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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

Table of n, a(n) for n=1..16.

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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Last modified September 24 22:31 EDT 2017. Contains 292441 sequences.