|
| |
|
|
A144252
|
|
Eigentriangle, row sums = A144251 shifted, right border = A144251.
|
|
2
| |
|
|
1, 1, 1, 1, 3, 2, 1, 5, 12, 6, 1, 7, 30, 60, 24, 1, 9, 56, 210, 360, 122, 1, 11, 90, 504, 1680, 2562, 758, 1, 13, 132, 990, 5040, 15372, 21224, 5606, 1, 15, 182, 1716, 11880, 36364, 159180, 201816, 47378
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,5
|
|
|
COMMENTS
| Right border = A144251: (1, 1, 2, 6, 24, 122, 758,...) with row sums = the same sequence shifted. Sum of n-th row terms = rightmost term of next row.
|
|
|
FORMULA
| Eigentriangle by rows, T(n,k) = A054142(n,k) * A144251(k); were A144251 = the eiegensequence of triangle A054142.
|
|
|
EXAMPLE
| First few rows of the triangle =
1;
1, 1;
1, 3, 2;
1, 5, 12, 6;
1, 7, 30, 60, 24;
1, 9, 56, 210, 360, 122;
1, 11, 90, 504, 1680, 2562, 758;
1, 13, 132, 990, 5040, 15372, 21224, 5606;
...
The triangle is generated from A054142 and it's own eigensequence, (A144251), where A054142 =
1;
1, 1;
1, 3, 1;
1, 5, 6, 1;
1, 7, 15, 10, 1;
...
The eigensequence of A054142 = A144251: (1, 1, 2, 6, 24, 122, 758, 5606,...);
Example: row 3 of A144252 = (1, 5, 12, 6) = termwise products of (1, 5, 6, 1) and (1, 1, 2, 6) = (1*1, 5*1, 6*2, 1*6).
|
|
|
CROSSREFS
| A144251, Cf. A054142, A125273, A085478
Sequence in context: A085792 A108123 A105954 * A002130 A089145 A134199
Adjacent sequences: A144249 A144250 A144251 * A144253 A144254 A144255
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 16 2008
|
| |
|
|
