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From Elmo R. Oliveira, Dec 27 2024: (Start)
E.g.f.: exp(x)*x*(2 + 7*x).
a(n) = n + A051868(n).
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2. (End)
Cf. numbers of the form n*(n*k - k + 4)/2 listed in A226488 (this sequence is the case k=14). - Bruno Berselli, Jun 10 2013
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a(n) = 2*A001106(n)*2 = 7*n^2 - 5*n = n*(7*n-5).
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