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A127740
Natural number transform of Aitken's triangle.
1
1, 2, 4, 6, 9, 15, 20, 28, 40, 60, 75, 100, 135, 185, 260, 312, 402, 522, 684, 906, 1218, 1421, 1785, 2254, 2863, 3661, 4718, 6139, 7016, 8640, 10680, 13256, 16528, 20712, 26104, 33120, 37260, 45153, 54873, 66888, 81801, 100395, 123696, 153063, 190323
OFFSET
0,2
COMMENTS
Right border (1, 4, 15, 60, ...) = n*B(n); left column (1, 2, 6, 20, ...) = A052889, n*B(n-1). Row sums = A127741, (n+1) * A005493, where A005493 = row sums of Aitken's triangle.
FORMULA
A127648 * A011971 as infinite lower triangular matrices, where A127648 = [1; 0,2; 0,0,3; ...]. (n+1) * each row term in Aitken's triangle.
EXAMPLE
First few rows of the triangle:
1;
2, 4;
6, 9, 15;
20, 28, 40, 60;
75, 100, 135, 185, 260;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Jan 27 2007
STATUS
approved