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Row sums of the triangle A045975.
4

%I #9 Apr 02 2013 13:14:07

%S 1,6,45,120,325,630,1225,2016,3321,4950,7381,10296,14365,19110,25425,

%T 32640,41905,52326,65341,79800,97461,116886,140185,165600,195625,

%U 228150,266085,306936,354061,404550,462241,523776,593505,667590,750925,839160,937765

%N Row sums of the triangle A045975.

%C a(n) = sum(A045975(n,k): k = 1 .. n);

%C a(n) = n * (if n even then A035328(n/2) else A005817((n+1)/2)). [_Reinhard Zumkeller_, Jan 18 2012]

%F Conjecture: a(n) = (n^2*(-(-1)^n+n^2))/2. G.f.: -x*(x^6 +4*x^5 +31*x^4 +24*x^3 +31*x^2 +4*x +1) / ((x -1)^5*(x +1)^3). - _Colin Barker_, Apr 02 2013

%o (Haskell)

%o a204558 = sum . a045975_row

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Jan 18 2012