a(n) is the integer w such that (c(n)^2, -d(n)^2, -w) is a primitive solution to the Diophantine equation 2*x^3 + 2*y^3 + z^3 = 11^3, where c(n) = F(n+2) + (-1)^n * F(n-3), d(n) = F(n+1) + (-1)^n * F(n-4) and F(n) is the n-th Fibonacci number (A000045).
A356716
a(n) is the integer w such that (c(n)^2, -d(n)^2, -w) is a primitive solution to the Diophantine equation 2*x^3 + 2*y^3 + z^3 = 11^3, where c(n) = F(n+2) + (-1)^n * F(n-3), d(n) = F(n+1) + (-1)^n * F(n-4) and F(n) is the n-th Fibonacci number (A000045).
Terms
- a(0) =5a(1) =19a(2) =31a(3) =101a(4) =179a(5) =655a(6) =1189a(7) =4451a(8) =8111a(9) =30469a(10) =55555a(11) =208799a(12) =380741a(13) =1431091a(14) =2609599a(15) =9808805a(16) =17886419a(17) =67230511a(18) =122595301a(19) =460804739a(20) =840280655a(21) =3158402629a(22) =5759369251a(23) =21648013631a(24) =39475304069a(25) =148377692755a(26) =270567759199
External references
- oeis: A356716