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From Amiram Eldar, Oct 03 2024: (Start)
Sum_{n>=1} 1/a(n) = 1217/26880.
Sum_{n>=1} (-1)^(n+1)/a(n) = 149/8960. (End)
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a(n) = Sum_{k=0..3} Stirling1(3, k)*(-4)^(3 - k)*n^k.
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<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
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