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reviewed
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proposed
reviewed
editing
proposed
(Magma) [4^n - n: n in [0..35]]: ; // Vincenzo Librandi, May 13 2011
approved
editing
reviewed
approved
proposed
reviewed
editing
proposed
1, 3, 14, 61, 252, 1019, 4090, 16377, 65528, 262135, 1048566, 4194293, 16777204, 67108851, 268435442, 1073741809, 4294967280, 17179869167, 68719476718, 274877906925, 1099511627756, 4398046511083, 17592186044394, 70368744177641, 281474976710632, 1125899906842599
From Vincenzo Librandi, Jun 16 2013: (Start)
G.f.: (1 - 3*x + 5*x^2)/((1 - 4*x)*(1 - x)^2). - _Vincenzo Librandi_, Jun 16 2013
a(n) = 6*a(n-1) - 9*a(n-2) + 4*a(n-3). - _Vincenzo Librandi_, Jun 16 2013(End)
E.g.f.: exp(x)*(exp(3*x) - x). - Elmo R. Oliveira, Sep 10 2024
approved
editing
(MAGMAMagma) [4^n - n: n in [0..35]]: // Vincenzo Librandi, May 13 2011
(MAGMAMagma) I:=[1, 3, 14]; [n le 3 select I[n] else 6*Self(n-1)-9*Self(n-2)+4*Self(n-3): n in [1..30]]; // Vincenzo Librandi, Jun 16 2013
proposed
approved