This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A165938 #10 Apr 18 2016 02:58:09 %S A165938 2,34,2786,1331714,3710155682,60245508192802,5701755387019728962, %T A165938 3145168096065837266706434,10111847525912679844192131854786, %U A165938 189482250299273866835746159841800035874,20694642381734231604510939638726181796865594402 %N A165938 a(n) = A002203(n^2) for n>=1. %H A165938 Paul D. Hanna, <a href="/A165938/b165938.txt">Table of n, a(n) for n = 1..40</a> %F A165938 a(n) == 2 (mod 32). %F A165938 a(n) = (1+sqrt(2))^(n^2) + (1-sqrt(2))^(n^2). %F A165938 Logarithmic derivative of A165937. %t A165938 Simplify[Table[(1 + Sqrt[2])^(n^2) + (1 - Sqrt[2])^(n^2), {n, 1, 7}]] (* _G. C. Greubel_, Apr 18 2016 *) %o A165938 (PARI) {a(n)=polcoeff(2*(1-x)/(1-2*x-x^2 +x*O(x^(n^2))),n^2)} %Y A165938 Cf. A165937, A002203, A000129 (Pell numbers). %K A165938 nonn %O A165938 1,1 %A A165938 _Paul D. Hanna_, Oct 18 2009