Let's relax and do a math game: Step 1: take a natural number N1 = 5, calculate N12 + 1 to get A1; step 2: calculate the numbers of A1 N 2 is obtained by the sum of N 22 + 1, and a 2 is obtained by calculating n 22 + 1; Step 3: calculate the sum of the numbers of A2 to get N3, and calculate N32 + 1 to get A3; … And so on, then a2011=

Let's relax and do a math game: Step 1: take a natural number N1 = 5, calculate N12 + 1 to get A1; step 2: calculate the numbers of A1 N 2 is obtained by the sum of N 22 + 1, and a 2 is obtained by calculating n 22 + 1; Step 3: calculate the sum of the numbers of A2 to get N3, and calculate N32 + 1 to get A3; … And so on, then a2011=

According to the meaning of the title:
n1=5,a1=5×5+1=26;
n2=8,a2=8×8+1=65;
n3=11,a3=11×11+1=122;
n4=5,a4=5×5+1=26;

∵ three number cycles
Ψ n2011 is the first of 671 cycles,
∴a2011=a1=26.