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A080290 a(n)=n^n(n+2-(1/12)(n^2-1)). 0

%I #1 May 16 2003 03:00:00

%S 3,15,117,1216,15625,237168,4117715,79691776,1678822119,37500000000,

%T 855935011833,18575209267200,302875106592253,-2778001706389504,

%U -729823150634765625,-59951918239556042752,-4136201309431683820885

%N a(n)=n^n(n+2-(1/12)(n^2-1)).

%C a(n) is the determinant of the n X n matrix M with M(i,i)=2i+n, M(i,j)=i+j.

%F a(n)=n^n(n+2-(1/12)(n^2-1)). a(n)=n^n-n^(n-1)A002378(n)-n^(n-2)A002415

%t Table[n^n(n + 2 - (n^2 - 1)/12), {n, 1, 17}]

%K easy,sign

%O 1,1

%A Mario Catalani (mario.catalani(AT)unito.it), Feb 13 2003

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Last modified April 17 13:58 EDT 2024. Contains 371764 sequences. (Running on oeis4.)