A144159 Eigentriangle, sum of row n terms = A006054(n+2).

1, 1, 1, 2, 1, 2, 2, 2, 2, 5, 3, 2, 4, 5, 11, 3, 3, 4, 10, 11, 25, 4, 3, 6, 10, 22, 25, 56, 4, 4, 6, 15, 22, 50, 56, 126, 5, 4, 8, 15, 33, 50, 112, 126, 283, 5, 5, 8, 20, 33, 75, 112, 252, 283, 636

Offset

1,4

Comments

Left border = (1, 1, 2, 2, 3, 3,...) Row sums = (1, 2, 5, 11, 25, 56, 126,...) = A006054 such that row n = A006054(n+2).

Sum of n-th row terms = rightmost term of next row.

Links

Table of n, a(n) for n=1..55.

Formula

Triangle read by rows, A * B, where A = an infinite lower triangular matrix with A008619: (1, 1, 2, 2, 3, 3,...) in every column. B = an infinite lower triangular matrix with A008619 as the main diagonal: (1, 2, 5, 11, 25, 56, 126,...) and the rest zeros.

Example

First few rows of the triangle =
1;
1, 1;
2, 1, 2;
2, 2, 2, 5;
3, 2, 4, 5, 11;
3, 3, 4, 10, 11, 25;
4, 3, 6, 10, 22, 25, 56;
4, 4, 6, 15, 22, 50, 56, 126;
5, 4, 8, 15, 33, 50, 112, 126, 283;
...

Crossrefs

Cf. A006054, A008619.

Sequence in context: A247302 A029252 A094876 * A318662 A073610 A285797

Adjacent sequences: A144156 A144157 A144158 * A144160 A144161 A144162

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 12 2008

Status

approved