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a(n) = n^4/12 + n^3/6 - 7n7*n^2/12 - 2n2*n/3 + 1 = (n-1)*(n-2)*(n+3)*(n+2)/12.
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a(n) = n^4/12 + n^3/6 - 7n^2/12 - 2n/3 + 1 = (n-1)*(n-2)*(n+3)*(n+2)/12. .
E.g.f.: exp(x)*(12 - 12*x + 6*x^2 + 8*x^3 + x^4)/12. - Stefano Spezia, Feb 21 2024
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(MAGMAMagma) [n^4/12 + n^3/6 - 7*n^2/12 - 2*n/3 + 1: n in [0..40]];
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reviewed
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