(MAGMAMagma) [&+[i*Fibonacci(i)^2: i in [0..n]]: n in [0..30]];
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(MAGMAMagma) [&+[i*Fibonacci(i)^2: i in [0..n]]: n in [0..30]];
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LinearRecurrence[{5, -4, -10, 10, 4, -5, 1}, {0, 1, 3, 15, 51, 176, 560}, 30] (* Harvey P. Dale, May 15 2021 *)
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(Sage) [sum(i*fibonacci(i)^2 for i in [0..n]) for n in xrangerange(30)]
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Bruno Berselli, <a href="/A282464/b282464.txt">Table of n, a(n) for n = 0..1000</a>
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a(n) = ((n-1)*Fibonacci(n)*( + n*Fibonacci(n+-1) - )*Fibonacci(n)) + (1 - (-1)^n)/2.
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