_{p}} of positive integers is such that:

B

_{1}= 20, B

_{2}= 30, and:

B

_{p+2}= 3*B

_{p+1}– B

_{p}, whenever p ≥ 1.

Determine all possible

*positive integer values*of p such that:

1 + 5*B

_{p+1}*B

_{p}is a perfect square.

**** For an extra challenge, derive a non computer program assisted solution.