A143864 Eigentriangle of A055461 (square subsequences decrescendo).

1, 4, 1, 9, 4, 5, 16, 9, 20, 18, 25, 16, 45, 72, 63, 36, 25, 80, 162, 252, 221, 49, 36, 125, 288, 567, 884, 776, 64, 49, 180, 450, 1008, 1989, 3104, 2725, 81, 64, 245, 648, 1575, 3536, 6984, 10900, 9569

Offset

1,2

Comments

Row sums A033453: (1, 5, 18, 63, 221, 776, 2725,...); the shifted right border. Sum of row n terms = rightmost term of next row.

Links

Table of n, a(n) for n=1..45.

Formula

A055461 (squares decrescendo triangle) * (A033453 * 0^(n-k)); 1<=k<=1; where (A033453 * 0^(n-k)) = an infinite lower triangular matrix with the INVERT transform of the squares as the main diagonal, starting: (1, 1, 5, 18, 63, 221, 776,...) and the rest zeros.

Example

First few rows of the triangle =
1;
4, 1;
9, 4, 5;
16, 9, 20, 18;
25, 16, 45, 72, 63;
36, 25, 80, 162, 252, 221;
49, 36, 125, 288, 567, 884, 776;
...
Row 3 = (9, 4, 5) = termwise product of (9, 4, 1) and (1, 1, 5) (9*1, 4*1, 1*5).

Crossrefs

Cf. A055461, A033453.

Sequence in context: A104796 A132020 A175643 * A296483 A073364 A125165

Adjacent sequences: A143861 A143862 A143863 * A143865 A143866 A143867

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 04 2008

Status

approved