Permutated Pooled Pascal (Power of 7)

$(1 + 2 + 3 + 4 + 5 + 6 + 7)^1$

$+$ $7(1 + 2 + 3 + 4 + 5 + 6)^2$

$+$ $21(1 + 2 + 3 + 4 + 5)^3$

$+$ $35(1 + 2 + 3 + 4)^4$

$+$ $35(1 + 2 + 3)^5$

$+$ $21(1 + 2)^6$

$+$ $7(1)^7$

The above line of operations change to:

$(28)^1 + 7(21)^2 + 21(15)^3 + 35(10)^4 + 35(6)^5 + 21(3)^6 + 7(1)^7$

And once again changes to:

$28 + 3087 + 70875 + 350000 + 272160 + 15309 + 7$

And then, the final result is $\boxed {711466}$