|
%I #2 Mar 30 2012 17:25:34
%S 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 420,814,1057,674,128,127,360,990,2368,4379,5392,3263,256,255,741,
%U 2190,6031,14043,24938,29367,17007,512,511,1506,4660,14134,38656,87620
%N Triangle read by rows, A055248 * (A005493 * 0^(n-k))
%C 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 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 First few rows of the triangle =
%e 1;
%e 2, 1;
%e 4, 3, 3;
%e 8, 7, 12, 10;
%e 16, 15, 33, 50, 37;
%e 32, 31, 78, 160, 222, 151;
%e 64, 63, 171, 420, 814, 1057, 674;
%e 128, 127, 360, 990, 2368, 4379, 5392, 3263;
%e 256, 255, 741, 2190, 6031, 14043, 24938, 29367, 17007;
%e 512, 511, 1506, 4660, 14134, 38656, 87620, 150098, 170070, 94828;
%e 1024, 1023, 3039, 9680, 31376, 96338, 260164, 574288, 952392, 1043108, 562595;
%e ...
%e Example: row 3 = (8, 7, 12, 10) = termwise products of (8, 7, 4, 1) and
%e (1, 1, 3, 10), where (8, 7, 12, 10) = row 3 of triangle A055248.
%Y Cf. A055248, A005493, A011971
%K eigen,nonn,tabl
%O 0,2
%A _Gary W. Adamson_, Apr 16 2009
|
