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 A159573 #4 Jun 02 2025 01:38:31 %S A159573 1,2,1,4,3,3,8,7,12,10,16,15,33,50,37,32,31,78,160,222,151,64,63,171, %T A159573 420,814,1057,674,128,127,360,990,2368,4379,5392,3263,256,255,741, %U A159573 2190,6031,14043,24938,29367,17007,512,511,1506,4660,14134,38656,87620 %N A159573 Triangle read by rows, A055248 * (A005493 * 0^(n-k)). %C A159573 Row sums = A005493: (1, 3, 10, 37, 151, 674, 3263,...); = row sums of Aitken's array. As a property of eigentriangles, sum of n-th row terms = rightmost term of next row. %F A159573 Triangle read by rows, A055248 * (A005493 * 0^(n-k)); equivalent to the product of triangle A055248 and its own eigensequence (diagonalized with the rest zeros, as an infinite lower triangular matrix). %e A159573 First few rows of the triangle = %e A159573 1; %e A159573 2, 1; %e A159573 4, 3, 3; %e A159573 8, 7, 12, 10; %e A159573 16, 15, 33, 50, 37; %e A159573 32, 31, 78, 160, 222, 151; %e A159573 64, 63, 171, 420, 814, 1057, 674; %e A159573 128, 127, 360, 990, 2368, 4379, 5392, 3263; %e A159573 256, 255, 741, 2190, 6031, 14043, 24938, 29367, 17007; %e A159573 512, 511, 1506, 4660, 14134, 38656, 87620, 150098, 170070, 94828; %e A159573 1024, 1023, 3039, 9680, 31376, 96338, 260164, 574288, 952392, 1043108, 562595; %e A159573 ... %e A159573 Example: row 3 = (8, 7, 12, 10) = termwise products of (8, 7, 4, 1) and %e A159573 (1, 1, 3, 10), where (8, 7, 12, 10) = row 3 of triangle A055248. %Y A159573 Cf. A055248, A005493, A011971 %K A159573 eigen,nonn,tabl %O A159573 0,2 %A A159573 _Gary W. Adamson_, Apr 16 2009