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.

A007385 Number of strict 5th-order maximal independent sets in path graph.

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%I A007385 M2200 #20 Jan 02 2018 19:29:26
%S A007385 0,0,0,0,0,0,1,0,3,0,6,0,10,1,15,4,21,10,28,20,37,35,50,56,70,84,101,
%T A007385 121,148,171,217,241,315,342,451,490,638,707,896,1022,1256,1473,1765,
%U A007385 2111,2492,3007,3535,4263,5030,6028,7164,8520,10195
%N A007385 Number of strict 5th-order maximal independent sets in path graph.
%D A007385 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%D A007385 R. Yanco and A. Bagchi, ``K-th order maximal independent sets in path and cycle graphs,'' J. Graph Theory, submitted, 1994, apparently unpublished.
%H A007385 R. Yanco, <a href="/A007380/a007380.pdf">Letter and Email to N. J. A. Sloane, 1994</a>
%F A007385 Apparently a(n)= 3*a(n-2) -3*a(n-4) +a(n-6) +a(n-7) -2*a(n-9) +a(n-11) with g.f. -x^7/((x^7+x^2-1)*(x-1)^2*(1+x)^2). [From _R. J. Mathar_, Oct 30 2009]
%F A007385 a(n) = A007380(n) - b(n) where b(2*n+1) = 1 and b(2*n) = n+1.- _Sean A. Irvine_, Jan 02 2018
%Y A007385 Cf. A007380.
%K A007385 nonn
%O A007385 1,9
%A A007385 _N. J. A. Sloane_, _Mira Bernstein_
%E A007385 More terms from _Sean A. Irvine_, Jan 02 2018