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A080290
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a(n)=n^n(n+2-(1/12)(n^2-1)).
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0
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3, 15, 117, 1216, 15625, 237168, 4117715, 79691776, 1678822119, 37500000000, 855935011833, 18575209267200, 302875106592253, -2778001706389504, -729823150634765625, -59951918239556042752, -4136201309431683820885
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OFFSET
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1,1
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COMMENTS
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a(n) is the determinant of the n X n matrix M with M(i,i)=2i+n, M(i,j)=i+j.
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LINKS
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FORMULA
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a(n)=n^n(n+2-(1/12)(n^2-1)). a(n)=n^n-n^(n-1)A002378(n)-n^(n-2)A002415
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MATHEMATICA
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Table[n^n(n + 2 - (n^2 - 1)/12), {n, 1, 17}]
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Feb 13 2003
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STATUS
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approved
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