A127168 Triangle read by rows: square of A126988.

1, 4, 1, 6, 0, 1, 12, 4, 0, 1, 10, 0, 0, 0, 1, 24, 6, 4, 0, 0, 1, 14, 0, 0, 0, 0, 0, 1, 32, 12, 0, 4, 0, 0, 0, 1, 27, 0, 6, 0, 0, 0, 0, 0, 1, 40, 10, 0, 0, 4, 0, 0, 0, 0, 1, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 72, 24, 12, 6, 0, 4, 0, 0, 0, 0, 0, 1, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

0,2

Comments

Row sums = A060640: (1, 5, 7, 17, 11, 35, 15, 49...) Left column = A038040, d(n)*n: (1, 4, 6, 12, 10, 24, 14, 32, 27, 40...). A127168 * A008683 = A018804, (1, 3, 5, 8, 9, 15...); where A008683 = the Mobius sequence.

Links

Table of n, a(n) for n=0..90.

Example

First few rows of the triangle are:
1;
4, 1;
6, 0, 1;
12, 4, 0, 1
10, 0, 0, 0, 1
24, 6, 4, 0, 0, 1
14, 0, 0, 0, 0, 0, 1;
32, 12, 0, 4, 0, 0, 0, 1;
...

Crossrefs

Cf. A008683, A018804, A038040, A060640, A127169.

Sequence in context: A210491 A127140 A010642 * A176216 A109039 A257656

Adjacent sequences: A127165 A127166 A127167 * A127169 A127170 A127171

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 06 2007

Extensions

a(20) = 1 inserted and more terms from Georg Fischer, May 31 2023

Status

approved