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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). 2
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 (list; table; graph; refs; listen; history; text; internal format)
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: A120013 A344180 A151847 * A113749 A109225 A112564

Adjacent sequences:  A179740 A179741 A179742 * A179744 A179745 A179746

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jul 25 2010

STATUS

approved

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Last modified June 16 10:30 EDT 2021. Contains 345056 sequences. (Running on oeis4.)