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 A078436 #5 May 10 2013 12:45:08 %S A078436 1,2,0,3,4,0,4,6,8,0,5,8,12,16,0,6,10,16,24,32,0,7,12,20,32,48,64,0,8, %T A078436 14,24,40,64,96,128,0,9,16,28,48,80,128,192,256,0,10,18,32,56,96,160, %U A078436 256,384,512,0,11,20,36,64,112,192,320,512,768,1024,0,12,22,40,72,128 %N A078436 Triangle read by rows in which n-th row counts multisets associated with hook partitions. %C A078436 Row sums appear to be A077802. When more general partition types are included, such as 22^(n-4) yielding 9 18 36 72 ..., the array row sums becomes 1,2,7,18,50,118,301,... in agreement with A074141. %F A078436 G.f.: x*y*(2-x)/(1-2*x*y)/(1-x)^2. - _Vladeta Jovovic_, Dec 31 2002 %e A078436 Triangle begins 1; 2,0; 3,4,0; 4,6,8,0; 5,8,12,16,0; ... %e A078436 a(13) = 12 because we find 1 + 3 + 4 + 3 + 1 multisets of type 21^(n-2): they are 4; 14,24,34; 114,124,134,234; 1124,1134,1234; and 11234 %Y A078436 Cf. A077802, A074139, A074141. %K A078436 easy,nonn,tabl %O A078436 1,2 %A A078436 _Alford Arnold_, Dec 30 2002 %E A078436 More terms from _Vladeta Jovovic_, Dec 31 2002