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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; text; 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.

LINKS

Table of n, a(n) for n=0..44.

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: A283024 A090483 A299494 * A323432 A024787 A266648

Adjacent sequences:  A127737 A127738 A127739 * A127741 A127742 A127743

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jan 27 2007

STATUS

approved

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Last modified April 20 02:06 EDT 2019. Contains 322291 sequences. (Running on oeis4.)