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 A028493 a(0) = 16, a(n+1) = 3a(n) - (6-n)^2. 0

%I #5 Mar 29 2017 14:58:15

%S 16,12,11,17,42,122,365,1095,3284,9848,29535,88589,265742,797190,

%T 2391521,7174499,21523416,64570148,193710323,581130825,1743392306,

%U 5230176722,15690529941,47071589567,141214768412

%N a(0) = 16, a(n+1) = 3a(n) - (6-n)^2.

%D Seen in a newspaper quiz.

%F From _Chai Wah Wu_, Mar 29 2017: (Start)

%F a(n) = 6*a(n-1) - 12*a(n-2) + 10*a(n-3) - 3*a(n-4) for n > 3.

%F G.f.: (-65*x^3 + 131*x^2 - 84*x + 16)/((x - 1)^3*(3*x - 1)). (End)

%p (3^n + (5-n)*(6-n) + 1)/2;

%K nonn,easy

%O 0,1

%A Mark Orr (mjo(AT)cns.ed.ac.uk)

%E Definition edited by _Chai Wah Wu_, Mar 29 2017

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Last modified September 25 20:01 EDT 2023. Contains 365649 sequences. (Running on oeis4.)