|
| |
|
|
A127740
|
|
Natural number transform of Aitkens' 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
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
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 Aitkens' triangle.
|
|
|
FORMULA
| A127648 * A011971 as infinite lower triangular matrices, where A127648 = [1; 0,2; 0,0,3;...]. (n+1) * each row term in Aitkens' triangle.
|
|
|
EXAMPLE
| First few rows of the triangle are:
1;
2, 4;
6, 9, 15;
20, 28, 40, 60;
75, 100, 135, 185, 260;
...
|
|
|
CROSSREFS
| Cf. A000110, A005493, A052889, A011971.
Sequence in context: A164139 A024849 A090483 * A024787 A076922 A157679
Adjacent sequences: A127737 A127738 A127739 * A127741 A127742 A127743
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 27 2007
|
| |
|
|
