a(n) is equal to the rational part (considering of the field Q(sqrt(13))) of the numbers A(n)/sqrt(13), where we have A(n) = ((sqrt(13) - 1)/2)*A(n-1) + A(n-2) + ((3-sqrt(13))/2)*A(n-3), with A(0) = 6, A(1) = sqrt(13) - 1, and A(2) = 11 - sqrt(13).
A216486
a(n) is equal to the rational part (considering of the field Q(sqrt(13))) of the numbers A(n)/sqrt(13), where we have A(n) = ((sqrt(13) - 1)/2)*A(n-1) + A(n-2) + ((3-sqrt(13))/2)*A(n-3), with A(0) = 6, A(1) = sqrt(13) - 1, and A(2) = 11 - sqrt(13).
Terms
- a(0) =0a(1) =1a(2) =-1a(3) =4a(4) =-3a(5) =14a(6) =-10a(7) =48a(8) =-37a(9) =166a(10) =-144a(11) =582a(12) =-570a(13) =2067a(14) =-2260a(15) =7421a(16) =-8923a(17) =26878a(18) =-35020a(19) =98039a(20) =-136612a(21) =359649a(22) =-529990a(23) =1325491a(24) =-2046310a(25) =4903786a(26) =-7868991a(27) =18199354a(28) =-30157768a(29) =67720279
External references
- oeis: A216486