|
| |
|
|
A159974
|
|
Triangle read by rows, M * Q.; M = an infinite lower triangular Toeplitz matrix with (1, 1, 2, 3, 4, 5,...) in every column. Q = a matrix with A034943: (1, 1, 2, 5, 12, 28,...) as the main diagonal and the rest zeros.
|
|
1
| |
|
|
1, 1, 1, 2, 1, 2, 3, 2, 2, 5, 4, 3, 4, 5, 12, 5, 4, 6, 10, 12, 28, 6, 5, 8, 15, 24, 28, 65, 7, 6, 10, 20, 36, 56, 65, 151, 8, 7, 12, 25, 48, 84, 130, 151, 351, 9, 8, 14, 30, 60, 112, 195, 302, 351, 816, 10, 9, 16, 35, 72, 140, 260, 453, 702, 816, 1897
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 2,4
|
|
|
COMMENTS
| Row sums = A034943 starting (1, 2, 5, 12, 28, 65, 151, 351,...).
As a property of eigentriangles, sum of n-th row terms = rightmost term of next row.
A034943 starting (1, 2, 5, 12, 28,...) = the INVERT transform of (1, 1, 2, 3, 4, 5,...).
|
|
|
FORMULA
| Triangle read by rows, M * Q.; M = an infinite lower triangular Toeplitz matrix with (1, 1, 2, 3, 4, 5,...) in every column. Q = a matrix with A034943: (1, 1, 2, 5, 12, 28,...) as the main diagonal and the rest zeros
|
|
|
EXAMPLE
| First few rows of the triangle =
1;
1, 1;
2, 1, 2;
3, 2, 2, 5;
4, 3, 4, 5, 12;
5, 4, 6, 10, 12, 28;
6, 5, 8, 15, 24, 28, 65;
7, 6, 10, 20, 36, 56, 65, 151;
8, 7, 12, 25, 48, 84, 130, 151, 351;
9, 8, 14, 30, 60, 112, 195, 302, 351, 816;
10, 9, 16, 35, 72, 140, 260, 453, 702, 816, 1897;
...
Example: row 6 = (4, 3, 4, 5, 12) = termwise products of (1, 1, 2, 5, 12)
and (4, 3, 2, 1, 1).
|
|
|
CROSSREFS
| Cf. A034943
Sequence in context: A112218 A172366 A132148 * A143866 A155002 A103342
Adjacent sequences: A159971 A159972 A159973 * A159975 A159976 A159977
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 28 2009
|
| |
|
|
