Is this polynomial familiar?

Algebra Level 3

f(x)f(x) is a polynomial with integer coefficients. We have,

f(1)=1f(1)=1

f(2)=4f(2)=4

f(3)=9f(3)=9

f(4)=16f(4)=16

f(5)=25f(5)=25

f(6)=36f(6)=36

f(7)=49f(7)=49

f(8)=64f(8)=64

f(9)=81f(9)=81

f(10)=100f(10)=100

Determine f(11)f(11).

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