Empirical: a(n) = 2*a(n-1) - a(n-3) - 2*a(n-5) + 2*a(n-6) + a(n-8) - 2*a(n-10) + a(n-11).
Empirical for n mod 12 = 0: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1
Empirical for n mod 12 = 1: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 19
Empirical for n mod 12 = 2: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n - 39
Empirical for n mod 12 = 3: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 79
Empirical for n mod 12 = 4: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1
Empirical for n mod 12 = 5: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 59
Empirical for n mod 12 = 6: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1
Empirical for n mod 12 = 7: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 79
Empirical for n mod 12 = 8: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n - 39
Empirical for n mod 12 = 9: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 19
Empirical for n mod 12 = 10: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1
Empirical for n mod 12 = 11: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 119.
Empirical g.f.: x*(32 + 139*x + 418*x^2 + 749*x^3 + 969*x^4 + 1063*x^5 + 1021*x^6 + 691*x^7+ 679*x^8 - 2*x^9 + x^10) / ((1 - x)^5*(1 + x)^2*(1 + x^2)*(1 + x + x^2)). - Colin Barker, Nov 07 2018
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