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A152195 Triangle read by rows, A000012 * A152194 1
1, 2, 4, 1, 8, 4, 16, 11, 1, 32, 26, 6, 64, 57, 22, 1, 128, 120, 64, 8, 256, 247, 163, 37, 1, 512, 502, 382, 130, 10, 1024, 1013, 848, 386, 56, 1, 2048, 2036, 1816, 1024, 232, 12, 4096, 4083, 3797, 2510, 794, 79, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums = A045623: (1, 2, 5, 12, 28, 64, 144,...).

LINKS

Table of n, a(n) for n=0..48.

FORMULA

Triangle read by rows, A000012 * A152194; A000012 = an infinite lower triangular matrix with all 1's. The operation performs partial sums of A152194 column terms.

Equals binomial transform of [1; 1; 1,1; 1,1; 1,1,1; 1,1,1;...], (an infinite lower triangular matrix with one 1 in two rows, two 1's in two rows, three 1's in two rows, etc...).

EXAMPLE

First few rows of the triangle =

1;

2;

4, 1;

8, 4;

16, 11, 1;

32, 26, 6;

64, 57, 22, 1;

128, 120, 64, 8,

256, 247, 163, 37, 1;

512, 502, 382, 130, 10;

1024, 1013, 848, 386, 56, 1;

2048, 2036, 1816, 1024, 232, 12;

4096, 4083, 3797, 2510, 794, 79, 1;

...

CROSSREFS

A152194, A045623

Sequence in context: A121685 A125810 A226504 * A133156 A207538 A127529

Adjacent sequences:  A152192 A152193 A152194 * A152196 A152197 A152198

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Nov 28 2008

STATUS

approved

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Last modified March 26 20:47 EDT 2019. Contains 321535 sequences. (Running on oeis4.)