(sqrt(2*n+1)+sqrt(2*n-1))^(2*n)=2^n*lucasV(4*n,1,n)

-(2*n)^(-n)*(1+1/(16*n)+1/(512*n^2)+5*29/(3*2^13*n^3)

+577/(3*2^19*n^4)

+P/(3*5*2^23*n^5)

+Q/(3^2*5*2^28*n^6)

+O(1/n^7))

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(sqrt(2*n+1)+sqrt(2*n-1))^(2*n)=2^n*lucasV(4*n,1,n)

-(2*n)^(-n)*(1+1/(16*n)+1/(512*n^2)+5*29/(3*2^13*n^3)

+577/(3*2^19*n^4)

+P/(3*5*2^23*n^5)

+Q/(3^2*5*2^28*n^6)

+O(1/n^7))