A145463 Eigentriangle, row sums = A084509

1, 1, 1, 3, 1, 2, 13, 3, 2, 6, 47, 13, 6, 6, 24, 173, 47, 26, 18, 24, 96, 639, 173, 94, 78, 72, 96, 384, 2357, 639, 346, 282, 312, 288, 384, 1536, 8695, 2357, 1278, 1038, 1128, 1248, 1152, 1536, 6144, 32077, 8695, 4714, 3834, 4152, 4512, 4992, 4608, 6144, 24576

Offset

1,4

Comments

Row sums = A084509: (1, 2, 6, 24, 96, 384, 1536,...).

Right border = A084509 shifted: (1, 1, 2, 6, 24,...).

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, M * (A084509 * 0^(n-k)). M = an infinite lower triangular matrix with A084519: (1, 1, 3, 13, 47, 173,...) in every column; and (A084509 * 0^(n-k)) = an infinite lower triangular matrix with A084509 (1, 2, 6, 24, 96,...) shifted: (1, 1, 2, 6, 24, 96, 384,...) as the right diagonal and the rest zeros.

Example

First few rows of the triangle =
1;
1, 1;
3, 1, 2;
13, 3, 2, 6;
47, 13, 6, 6, 24;
173, 47, 26, 18, 24, 96;
639, 173, 94, 78, 72, 96, 384;
2357, 639, 346, 282, 312, 288, 384, 1536;
...
Row 4 = (13, 3, 2, 6) = termwise products of (13, 3, 1, 1) and (1, 1, 2, 6).

Crossrefs

A084509, Cf. A084519

Sequence in context: A092580 A004468 A254630 * A144107 A378459 A199647

Adjacent sequences: A145460 A145461 A145462 * A145464 A145465 A145466

Keyword

eigen,nonn,tabl

Author

Gary W. Adamson, Oct 11 2008

Status

approved