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 A059830 #19 Dec 30 2024 22:43:46 %S A059830 1,4,85,820,4369,16276,47989,120100,266305,538084,1010101,1786324, %T A059830 3006865,4855540,7568149,11441476,16843009,24221380,34117525,47176564, %U A059830 64160401,85961044,113614645,148316260,191435329,244531876,309373429,387952660,482505745,595531444 %N A059830 a(n) = n^6 + n^4 + n^2 + 1. %H A059830 Harry J. Smith, <a href="/A059830/b059830.txt">Table of n, a(n) for n = 0..1000</a> %H A059830 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A059830 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 A059830 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 A059830 Table[(n^2+1)*(n^4+1),{n,0,40}] (* _Alexander Adamchuk_, Apr 13 2006 *) %o A059830 (PARI) a(n) = { my(f=n^2); (f + 1)*(f^2 + 1) } \\ _Harry J. Smith_, Jun 29 2009 %Y A059830 Cf. A059839. %Y A059830 Cf. A002522, A002523, A024006, A067998. %K A059830 nonn,easy %O A059830 0,2 %A A059830 _N. J. A. Sloane_, Feb 25 2001