A179743 Triangle read by rows: antidiagonals of an array formed by sequences of the form a(0)=1, a(1) = (n+1); a(n+1), n>1 = 2*a(n).

1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 6, 8, 1, 1, 5, 8, 12, 16, 1, 1, 6, 10, 16, 24, 32, 1, 1, 7, 12, 20, 32, 48, 64, 1, 1, 8, 14, 24, 40, 64, 96, 128, 1, 1, 9, 16, 28, 48, 80, 128, 192, 256, 1, 1, 10, 18, 32, 56, 96, 160, 256, 384, 512, 1, 1, 11, 20, 36, 64, 112, 192, 320, 512, 768

Offset

0,5

Comments

Row sums = A179744: (1, 2, 4, 9, 20, 43, 90, 185, 376, 759, 1526,...).

Links

Table of n, a(n) for n=0..75.

Formula

Form an array with row 0 and column 0 = (1,1,1,...), with (n,1) = (n+1) and

a(n+1), n>1, = 2*a(n). Triangle A179743 = antidiagonals of the array.

Example

First few rows of the array =
.
1,...1,...1,...1,...1,...1,...
1,...2,...4,...8,..16,..32,...
1,...3,...6,..12,..24,..48,...
1,...4,...8,..16,..32,..64,...
1,...5,..10,..20,..40,..80,...
...
First few rows of the triangle =
.
1;
1, 1;
1, 2, 1;
1, 3, 4, 1;
1, 4, 6, 8, 1;
1, 5, 8, 12, 16, 1;
1, 6, 10, 16, 24, 32, 1;
1, 7, 12, 20, 32, 48, 64, 1;
1, 8, 14, 24, 40, 64, 96, 128, 1;
1, 9, 16, 28, 48, 80, 128, 192, 256, 1;
1, 10, 18, 32, 56, 96, 160, 256, 384, 512, 1;
1, 11, 20, 36, 64, 112, 192, 320, 512, 768, 1024;
1, 12, 22, 40, 72, 128, 244, 384, 640, 1024, 1536, 2048;
...

Crossrefs

Cf. A179744

Sequence in context: A344180 A151847 A349593 * A113749 A109225 A112564

Adjacent sequences: A179740 A179741 A179742 * A179744 A179745 A179746

Keyword

nonn,tabl

Author

Gary W. Adamson, Jul 25 2010

Status

approved