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 A007380 M0132 #22 Feb 02 2021 21:59:49 %S A007380 1,2,1,3,1,4,2,5,4,6,7,7,11,9,16,13,22,20,29,31,38,47,51,69,71,98,102, %T A007380 136,149,187,218,258,316,360,452,509,639,727,897,1043,1257,1495,1766, %U A007380 2134,2493,3031,3536,4288,5031,6054,7165,8547,10196 %N A007380 Number of 5th-order maximal independent sets in path graph. %D A007380 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A007380 R. Yanco and A. Bagchi, "K-th order maximal independent sets in path and cycle graphs", J. Graph Theory, submitted, 1994. %H A007380 R. Yanco, <a href="/A007380/a007380.pdf">Letter and Email to N. J. A. Sloane, 1994</a> %H A007380 R. Yanco and A. Bagchi, <a href="/A007380/a007380_1.pdf">K-th order maximal independent sets in path and cycle graphs</a>, Unpublished manuscript, 1994. (Annotated scanned copy) %F A007380 Apparently, a(n) = a(n-2) + a(n-7) with g.f. -x*(1+2*x+x^3+x^5+x^6)/(-1+x^2+x^7). - _R. J. Mathar_, Oct 30 2009 %F A007380 a(n) = T(2, 7, n + 7) where T(a, b, n) = Sum_{a*x+b*y = n, x >= 0, y >= 0} binomial(x+y, y). - _Sean A. Irvine_, Jan 02 2018 %K A007380 nonn %O A007380 1,2 %A A007380 _N. J. A. Sloane_, _Mira Bernstein_ %E A007380 More terms from _Sean A. Irvine_, Jan 02 2018