Let f map (x, y) to (x+y, x*y). Start from (X, X) and iterate f n times. Then a(n) is the coefficient of X^n in the polynomial in X that expresses the x-coordinate of the obtained position.
A343952
Let f map (x, y) to (x+y, x*y). Start from (X, X) and iterate f n times. Then a(n) is the coefficient of X^n in the polynomial in X that expresses the x-coordinate of the obtained position.
Terms
- a(0) =0a(1) =2a(2) =1a(3) =2a(4) =4a(5) =10a(6) =24a(7) =66a(8) =176a(9) =498a(10) =1416a(11) =4122a(12) =12068a(13) =35930a(14) =107632a(15) =325346a(16) =989600a(17) =3029914a(18) =9323248a(19) =28831066a(20) =89525028a(21) =279074634a(22) =872958488a(23) =2739387258a(24) =8621086800a(25) =27203628682a(26) =86050008056a(27) =272807862746a(28) =866704248868
External references
- oeis: A343952