A051048 Sqrt[a(n)a(n+1)+1] of A051047.

2, 5, 31, 449, 6271, 87361, 1216799, 16947841, 236052991, 3287794049, 45793063711, 637815097921, 8883618307199, 123732841202881, 1723376158533151, 24003533378261249, 334326091137124351

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn

Links

• Z. Franusic, On the Extension of the Diophantine Pair {1,3} in Z[surd d], J. Int. Seq. 13 (2010) # 10.9.6
• Eric Weisstein's World of Mathematics, Diophantus Property.
• Index entries for linear recurrences with constant coefficients, signature (15,-15,1).

Crossrefs

Cf. A051047.

Formula

G.f.: x(-4x^4+57x^3-14x^2-25x+2)/[(1-x)(1-14x+x^2)].