A152227 Eigentriangle, row sums = A002426

1, 2, 1, 2, 2, 3, 4, 2, 6, 7, 8, 4, 6, 14, 19, 18, 8, 12, 14, 38, 51, 42, 18, 24, 28, 38, 102, 141, 102, 42, 54, 56, 76, 102, 282, 393254, 102, 126, 126, 152, 204, 282, 786, 1107, 646, 254, 306, 2944, 342, 408, 564, 786, 2214, 3139

Offset

1,2

Comments

Row sums = A002426 starting with offset 1: (1, 3, 7, 19, 51, 141, 393,...).

Right border = A002426, left border = A007971

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

Links

Table of n, a(n) for n=1..54.

Formula

Triangle read by rows, M*Q. M = an infinite lower triangular matrix with A007971 in every column: (1, 2, 2, 4, 8, 18, 42,...); and Q = a matrix with A002426 as the main diagonal and the rest zeros.

Example

First few rows of the triangle =
1;
2, 1;
2, 2, 3;
4, 2, 6, 7;
8, 4, 6, 14, 19;
18, 8, 12, 14, 38, 51;
42, 18, 24, 28, 38, 102, 141;
102, 42, 54, 56, 76, 102, 282, 393;
254, 102, 126, 126, 152, 204, 282, 786, 1107;
646, 254, 306, 394, 342, 408, 564, 786, 2214, 3139;
...
Row 3 = (4, 2, 6, 7) = termwise products of (4, 2, 2, 1) and (1, 1, 3, 7)

Crossrefs

Sequence in context: A226916 A003113 A225502 * A246583 A244788 A078660

Adjacent sequences: A152224 A152225 A152226 * A152228 A152229 A152230

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 29 2008

Status

approved