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 A372768 #15 Jun 30 2024 20:50:11 %S A372768 0,1,4,13,34,85,199,454,1011,2220,4813,10351,22104,46948,99266,209113 %N A372768 The number of shaded cells in all compositions of n when light shines from the northwest. Here compositions are represented by stacked columns of adjacent cells. %H A372768 A. Blecher, A. Knopfmacher, and M. E. Mays, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Mays/mays9.html">Shade in compositions of integers</a>, Journal of Integer Sequences, Vol. 27 (2024), Article 24.5.6. %e A372768 For n=4, the composition 1+3 produces 3 shaded cells, 2+2 produces 1, 3+1 produces 2, 1+1+2 produces 1, 4 produces 6, and the others have no shaded cells, for a total of 13, so a(4) = 13. %Y A372768 Cf. A366157. %K A372768 nonn,more %O A372768 1,3 %A A372768 _Michael Mays_, May 12 2024