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 A377335 #6 Nov 01 2024 11:47:42 %S A377335 1,0,0,2,0,1,5,1,2,12,4,9,33,14,29,92,44,105,272,141,326,793,438,1069, %T A377335 2337,1362,3313,6938,4213,10636,20772,13089,32842,62398,40630,103676, %U A377335 187926,126201,319378,567076,391551,999680,1714404,1214219,3077337,5192627 %N A377335 Number of polycubes with 8*n cells, full symmetry, and the rotation point of the symmetries at the common corner of 8 cells (that may or may not be part of the polycube). %C A377335 The number of cells of a polycube, that has full symmetry with the rotation point of the symmetries at the common corner of 8 cells, must be a multiple of 8. %H A377335 <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>. %F A377335 a(n) = A376971(8*n)-A377334(8*n). %F A377335 Conjecture: a(n) < a(n-1) if and only if n mod 3 = 2. %Y A377335 Cf. A346800, A376971, A377334. %K A377335 nonn %O A377335 1,4 %A A377335 _Pontus von Brömssen_, Oct 25 2024