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A158945 Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36,...) and the rest zeros. 2
1, 0, 1, 2, 0, 1, 0, 2, 0, 3, 3, 0, 2, 0, 5, 0, 3, 0, 6, 0, 10, 4, 0, 3, 0, 10, 0, 19, 0, 4, 0, 9, 0, 20, 0, 36, 5, 0, 4, 0, 15, 0, 38, 0, 69, 0, 5, 0, 12, 0, 30, 0, 72, 0, 131, 6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250, 0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

As a property of eigentriangles, sum of n-th row terms = rightmost term of next row. Right border = A158943 prefaced with a 1: (1, 1, 1, 3, 5, 10, 19, 36, 69,...).

LINKS

Table of n, a(n) for n=1..78.

FORMULA

Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36,...) and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

0, 1;

2, 0, 1;

0, 2, 0, 3;

3, 0, 2, 0, 5;

0, 3, 0, 6, 0, 10;

4, 0, 3, 0, 10, 0, 19;

0, 4, 0, 9, 0, 20, 0, 36;

5, 0, 4, 0, 15, 0, 38, 0, 69;

0, 5, 0, 12, 0, 30, 0, 72, 0, 131;

6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250;

0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476;

7, 0, 6, 0, 25, 0, 76, 0, 207, 0, 500, 0, 907;

...

Row 5 = (3, 0, 2, 0, 5) = termwise products of (3, 0, 2, 0, 1) and (1, 1, 1, 3, 5); where (3, 0, 2, 0, 1) = row 5 of triangle A158944.

CROSSREFS

A158943, A158944

Sequence in context: A084929 A293575 A054014 * A156667 A178090 A110914

Adjacent sequences:  A158942 A158943 A158944 * A158946 A158947 A158948

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Mar 31 2009

STATUS

approved

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Last modified August 5 22:11 EDT 2020. Contains 336214 sequences. (Running on oeis4.)