A155729 Triangle read by rows, M * Q; M = (T(n,k) = A155728(n-k+1)); Q = (A155728 * 0^(n-k)).

1, 2, 1, 14, 2, 13, 121, 14, 6, 19, 1383, 121, 42, 38, 160, 19108, 1383, 363, 266, 320, 1744, 19108, 1383, 363, 266, 320, 1744, 309708, 19108, 4149, 2299, 2240, 3488, 23184, 2751027, 309708, 57324, 26277, 19360, 24416, 46368, 364176

Offset

1,2

Comments

Row sums = A054765 starting with offset 1: (1, 3, 19, 160, 1744,...).

As a property of eigentriangles, sum of n-th row terms = rightmost term of next row.

A155728 = INVERTi transform of A054765: (1, 3, 19, 160, 1744,...).

Links

Table of n, a(n) for n=1..42.

Formula

M = an infinite lower triangular matrix with A155728 in every column:

(1, 2, 14, 121, 1383, 19108, 309708,...).

Q = an infinite lower triangular matrix with A054765 prefaced with a 1:

(1, 1, 3, 19, 160, 1744,...) as the main diagonal and the rest zeros.

Example

First few rows of the triangle =
1;
2, 1;
14, 2, 3;
121, 14, 6, 19;
1383, 121, 42, 38, 160;
19108, 1383, 363, 266, 320, 1744;
309708, 19108, 4149, 2299, 2240, 3488, 23184;
2751027, 309708, 57324, 26277, 19360, 24416, 46368, 364176;
...
Example: Row 4 = = (121, 14, 6, 19) termwise products of (121, 14, 2, 1) and (1, 1, 3, 19).

Crossrefs

Cf. A054765, A155728

Sequence in context: A285653 A280412 A370826 * A217475 A288298 A288762

Adjacent sequences: A155726 A155727 A155728 * A155730 A155731 A155732

Keyword

eigen,nonn,tabl

Author

Gary W. Adamson & Alexander R. Povolotsky, Jan 25 2009

Status

approved