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%I #16 Jun 17 2017 03:55:04
%S 1,4,85,820,4369,16276,47989,120100,266305,538084,1010101,1786324,
%T 3006865,4855540,7568149,11441476,16843009,24221380,34117525,47176564,
%U 64160401,85961044,113614645,148316260,191435329,244531876,309373429
%N a(n) = n^6 + n^4 + n^2 + 1.
%H Harry J. Smith, <a href="/A059830/b059830.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F a(n) = (n^2+1)*(n^4+1) = A002522(n)*A002523(n) = A002522(n)*A002522(n^2). a(n) = (n^8-1)/(n^2-1) = -A024006(n)/A067998(n+1), n>1. - _Alexander Adamchuk_, Apr 13 2006
%F G.f.: -(4*x^6+57*x^5+309*x^4+274*x^3+78*x^2-3*x+1)/(x-1)^7. - _Colin Barker_, Nov 05 2012
%t Table[(n^2+1)*(n^4+1),{n,0,40}] (* _Alexander Adamchuk_, Apr 13 2006 *)
%o (PARI) { for (n=0, 1000, f=n^2; write("b059830.txt", n, " ", (f + 1)*(f^2 + 1)); ) } \\ _Harry J. Smith_, Jun 29 2009
%Y Cf. A059839.
%Y Cf. A002522, A002523, A024006, A067998.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Feb 25 2001
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