A144157 - OEIS

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A144157

Eigentriangle, row sums = A011782: (1, 1, 2, 4, 8, 16, ...).

1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 4, 3, 2, 1, 2, 0, 8, 5, 3, 2, 2, 4, 0, 16, 8, 5, 3, 4, 4, 8, 0, 32, 13, 8, 5, 6, 8, 8, 16, 0, 64

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OFFSET

0,10

COMMENTS

Row sums = A011782: (1, 1, 2, 4, 8, 16, ...).

Left border = A144157: (1, 0, 1, 1, 2, 3, 5, 8, ...).

Sum of n-th row terms = rightmost term of next row.

LINKS

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

FORMULA

Triangle read by rows, A * B. A = an infinite lower triangular decrescendo subsequences triangle with A144157: (1, 0, 1, 1, 2, 3, 5, 8, ...) in every column; and B = (A011782 * 0^(n-k)), 0 <= k <= n = (1; 0,1; 0,0,2; 0,0,0,4; 0,0,0,0,8; ...).

EXAMPLE

First few rows of the triangle:

0, 1;

1, 0, 1;

1, 1, 0, 2;

2, 1, 1, 0, 4;

3, 2, 1, 2, 0, 8;

5, 3, 2, 2, 4, 0, 16;

8, 5, 3, 4, 4, 8, 0, 32;

13, 8, 5, 6, 8, 8, 16, 0, 64;

...

Row 5 = (3, 2, 1, 2, 0, 8) = termwise product of (3, 2, 1, 1, 0, 1) and (1, 1, 1, 2, 4, 8) = (3*1, 2*1, 1*1, 1*2, 0*4, 1*8).

CROSSREFS

Sequence in context: A342936 A004564 A300705 * A321400 A004562 A261817

Adjacent sequences: A144154 A144155 A144156 * A144158 A144159 A144160

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 12 2008

STATUS

approved