1^1=1
1^1 + 2^2=5
1^1 + 2^2 + 3^3 =32
1^1 + 2^2 + 3^3 + 4^4 =288
1^1 + 2^2 + 3^3 +4^4 +5^5==3413
1^1 + 2^2 + 3^3 + 4^4 + 5^5 + 6^6=50069
1^1 + 2^2 + 3^3 + 4^4 + 5^5 + 6^6 + 7^7=873612