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.

A074032 Number of degree-n irreducible polynomials over GF(4) with trace 0 and subtrace 1.

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%I A074032 #37 Nov 19 2021 02:48:00
%S A074032 0,0,1,4,12,40,144,512,1813,6528,23808,87380,322560,1198080,4473647,
%T A074032 16777216,63160320,238605640,904200192,3435973836,13089411609,
%U A074032 49977753600,191219367936,733007751680,2814749599332,10825959997440,41699995927744,160842843834660
%N A074032 Number of degree-n irreducible polynomials over GF(4) with trace 0 and subtrace 1.
%C A074032 Let a = RootOf( x^2+x+1 ) and b = 1+a. Same as number of degree-n irreducible polynomials over GF(4) with trace 0 and subtrace a. Same as number of degree-n irreducible polynomials over GF(4) with trace 0 and subtrace b.
%C A074032 Is this a duplicate of A074450? - _R. J. Mathar_, Dec 16 2020
%H A074032 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 A074032 Jon Maiga, <a href="http://sequencedb.net/s/A074032">Computer-generated formulas for A074032</a>, Sequence Machine.
%H A074032 Frank Ruskey, <a href="http://combos.org/TSpoly4">Number of irreducible polynomials over GF(4) with given trace and subtrace</a>
%F A074032 a(n) = A042979(2*n)/2 [discovered by Sequence Machine]. - _Andrey Zabolotskiy_, Oct 09 2021
%Y A074032 Cf. A074031, A074033, A074034, A074035, A042979.
%Y A074032 Cf. A074450.
%K A074032 nice,nonn
%O A074032 1,4
%A A074032 _Frank Ruskey_ and Nate Kube, Aug 26 2002
%E A074032 More terms from Ruskey's website added by _Joerg Arndt_, Jan 16 2011
%E A074032 Terms a(17) and beyond from _Andrey Zabolotskiy_, Dec 15 2020