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 A300056 #10 May 24 2018 16:06:15 %S A300056 1,0,1,1,0,0,1,0,2,1,0,1,1,0,0,1,0,0,1,0,3,1,0,0,3,0,3,2,1,0,0,0,0,1, %T A300056 0,3,1,0,4,2,0,0,1,0,0,1,0,1,6,0,0,3,1,0,4,0,5,0,0,0,1,1,8,1,0,0,0,0, %U A300056 0,2,1,0,0,0,6,4,0,0,1,0,6,1,0,6,5,0,6,3,1,2,10,0,0,1,0,0,0,0,0,8,1,0,0,0,0,0 %N A300056 Number of normal standard domino tableaux whose shape is the integer partition with Heinz number n. %C A300056 A generalized Young tableau of shape y is an array obtained by replacing the dots in the Ferrers diagram of y with positive integers. A tableau is normal if its entries span an initial interval of positive integers. A standard domino tableau is a generalized Young tableau in which all rows and columns are weakly increasing and all regions are dominos. The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k). %e A300056 The a(75) = 6 tableaux: %e A300056 1 2 4 1 2 3 1 2 2 1 1 4 1 1 4 1 1 3 %e A300056 1 2 4 1 2 3 1 3 3 2 3 4 2 2 4 2 2 3 %e A300056 3 3 4 4 4 4 2 3 3 3 4 4 %Y A300056 Cf. A000085, A000712, A000898, A001222, A004003, A056239, A099390, A112798, A122111, A138178, A153452, A238690, A296150, A296188, A297388, A299926, A300060, A300061. %K A300056 nonn %O A300056 1,9 %A A300056 _Gus Wiseman_, Feb 23 2018