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a(n) ~ n! * (log(2) * cos(n*arctan(Pi/(2*log(2)))) - Pi * sin(n*arctan(Pi/(2*log(2))))/2) * 5^(n+1) / (Pi^2 + 4*log(2)^2)^(1 + n/2). - Vaclav Kotesovec, May 17 2022
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a(n) = Sum_{k=0..n} k! * (-1)^k * 5^(n-k) * Stirling2(n,k) . - Seiichi Manyama, Mar 13 2022
a(n) = Sum_{k=0..n} k! * (-1)^k * 5^(n-k) * Stirling2(n,k) - Seiichi Manyama, Mar 13 2022
(PARI) a(n) = sum(k=0, n, k!*(-1)^k*5^(n-k)*stirling(n, k, 2)); \\ Seiichi Manyama, Mar 13 2022
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