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 A331144 #17 Jun 21 2022 10:29:05 %S A331144 1,1,1,1,1,1,2,4,2,0,1,1,3,4,10,12,14,16,13,14,7,6,4,0,1,1,4,8,22,37, %T A331144 56,88,98,137,118,145,113,104,79,50,40,17,10,6,0,1 %N A331144 Irregular triangle read by rows: row n gives coefficients (in increasing order of powers of x) of normalized numerator polynomial of generating function for hexagonal net (honeycomb) directed site animals. Here n is the number of sites supported in one particular way. %C A331144 Guttmann-Conway give coefficients for rows n <= 9. %C A331144 This triangle just gives the numerators of the generating functions. Although it is not clear from their descriptions, it appears that A055907-A055915 give the expansions of the actual generating functions. %D A331144 Guttmann, A. J., and A. R. Conway. "Hexagonal lattice directed site animals." Series on advances in statistical mechanics, 14.1 (1999): 491-504. %H A331144 A. J., Guttmann and A. R. Conway, <a href="https://www.semanticscholar.org/paper/Hexagonal-lattice-directed-site-animals-Conway-Guttmann/6904fa94c8ea31414e6f918ace0f38d6038601e3">Hexagonal lattice directed site animals</a>, preprint, 1999. %e A331144 Triangle begins: %e A331144 1, %e A331144 1, %e A331144 1,1,1, %e A331144 1,2,4,2,0,1, %e A331144 1,3,4,10,12,14,16,13,14,7,6,4,0,1, %e A331144 1,4,8,22,37,56,88,98,137,118,145,113,104,79,50,40,17,10,6,0,1 %e A331144 ... %Y A331144 Cf. A055907-A055915. %K A331144 nonn,tabf,more %O A331144 0,7 %A A331144 _N. J. A. Sloane_, Jan 13 2020 %E A331144 Name edited by _Andrey Zabolotskiy_, Jun 21 2022