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 A372647 #8 May 11 2024 09:41:40
%S A372647 0,1,0,2,1,1,4,1,5,5,5,10,8,14,15,22,26,31,44,47,69,80,101,131,156,
%T A372647 203,246,315,388,484,609,746,945,1163,1453,1812,2242,2799,3464,4319,
%U A372647 5351,6652,8261,10235,12732,15763,19577,24276,30092,37338,46254,57376,71081
%N A372647 Number of compositions such that their set adjacent differences are a subset of {-1,1} and contain 1 as a part of the composition itself.
%e A372647 The compositions for n = 6..8 are:
%e A372647 a(6) = 4: [3,2,1], [2,1,2,1], [1,2,3], [1,2,1,2].
%e A372647 a(7) = 1: [1,2,1,2,1].
%e A372647 a(8) = 5: [2,1,2,1,2], [3,2,1,2], [2,1,2,3], [2,3,2,1], [1,2,3,2].
%Y A372647 Cf. (row sums of A372646).
%Y A372647 Cf. A003242, A173258, A362500.
%K A372647 nonn
%O A372647 0,4
%A A372647 _John Tyler Rascoe_, May 08 2024