cp's OEIS Frontend

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.

A074034 Number of degree-n irreducible polynomials over GF(4) with trace 1 and subtrace 1.

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%I A074034 #17 Dec 17 2020 14:23:49
%S A074034 0,0,2,4,12,40,153,512,1813,6528,23901,87380,322560,1198080,4474738,
%T A074034 16777216,63160320,238605640,904213989,3435973836,13089411609,
%U A074034 49977753600,191219550297,733007751680,2814749599332,10825959997440,41699998413248,160842843834660
%N A074034 Number of degree-n irreducible polynomials over GF(4) with trace 1 and subtrace 1.
%C A074034 Let a = RootOf( x^2+x+1 ) and b = 1+a. Same as number of degree-n irreducible polynomials over GF(4) with trace a and subtrace b. Same as number of degree-n irreducible polynomials over GF(4) with trace b and subtrace a.
%H A074034 E. N. Kuz'min, <a href="https://doi.org/10.1007/BF00971203">Irreducible polynomials over a finite field and an analogue of Gauss sums over a field of characteristic 2</a>, Siberian Mathematical Journal, 32, 982-989 (1991).
%H A074034 Frank Ruskey, <a href="http://combos.org/TSpoly4">Number of irreducible polynomials over GF(4) with given trace and subtrace</a>
%Y A074034 Cf. A074031, A074032, A074033, A074035.
%K A074034 nice,nonn
%O A074034 1,3
%A A074034 _Frank Ruskey_ and Nate Kube, Aug 26 2002
%E A074034 More terms from Ruskey's website added by _Joerg Arndt_, Jan 16 2011
%E A074034 Terms a(17) and beyond from _Andrey Zabolotskiy_, Dec 17 2020