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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
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, ...).
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
Sequence in context: A084929 A293575 A054014 * A156667 A178090 A110914
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Mar 31 2009
STATUS
approved