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 A220163 #29 Dec 18 2023 09:58:41 %S A220163 1,1,1,1,1,1,2,2,1,1,2,2,2,1,1,4,4,3,2,1,1,5,4,4,3,2,1,1,7,7,6,5,3,2, %T A220163 1,1,10,9,8,6,5,3,2,1,1,13,13,11,10,7,5,3,2,1,1,17,16,15,12,10,7,5,3, %U A220163 2,1,1,24,24,21,18,14,11,7,5,3,2,1,1 %N A220163 Triangle read by rows: N_s(n,k) of spt-crank coefficients, n >= 1, k >= 0. %C A220163 It appears this is the same as A195011 but without its right border (for this sequence see Garvan's slides, 2012). %C A220163 It appears that reversed rows converge to A000041. %H A220163 George E. Andrews, Freeman J. Dyson, and Robert C. Rhoades, <a href="https://doi.org/10.3390/math1030076">On the Distribution of the spt-Crank</a>, Mathematics 2013, 1, 76-88. %H A220163 G. E. Andrews, F. G. Garvan, and J. Liang, <a href="https://georgeandrews1.github.io/pdf/287.pdf">Combinatorial interpretation of congruences for the spt-function</a> %H A220163 F. G. Garvan, <a href="https://carma.newcastle.edu.au/meetings/alfcon/pdfs/Frank_Garvan-alfcon.pdf">The smallest parts partition function</a>, slides, 2012. %e A220163 1; %e A220163 1, 1; %e A220163 1, 1, 1; %e A220163 2, 2, 1, 1; %e A220163 2, 2, 2, 1, 1; %e A220163 4, 4, 3, 2, 1, 1; %e A220163 5, 4, 4, 3, 2, 1, 1; %e A220163 7, 7, 6, 5, 3, 2, 1, 1; %e A220163 10, 9, 8, 6, 5, 3, 2, 1, 1; %e A220163 13, 13, 11, 10, 7, 5, 3, 2, 1, 1; %e A220163 17, 16, 15, 12, 10, 7, 5, 3, 2, 1, 1; %e A220163 24, 24, 21, 18, 14, 11, 7, 5, 3, 2, 1, 1; %Y A220163 Column 1 is A195012. %Y A220163 Cf. A000041, A092269, A195011. %K A220163 nonn,tabl %O A220163 1,7 %A A220163 _Omar E. Pol_, Jan 15 2013