A144252 Eigentriangle, row sums = A144251 shifted, right border = A144251.

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

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.

Links

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

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 its 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 * A248033 A318254 A002130

Adjacent sequences: A144249 A144250 A144251 * A144253 A144254 A144255

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 16 2008

Status

approved