A143211 Triangle read by rows, T(n,k) = F(n)*F(k); 1<=k<=n.

1, 1, 1, 2, 2, 4, 3, 3, 6, 9, 5, 5, 10, 15, 25, 8, 8, 16, 24, 40, 64, 13, 13, 26, 39, 65, 104, 169, 21, 21, 42, 63, 105, 168, 273, 441, 34, 34, 68, 102, 170, 272, 442, 714, 1156, 55, 55, 110, 165, 275, 440, 715, 1155, 1870, 3025, 89, 89, 178, 267, 445, 712, 1157, 1869

Offset

1,4

Comments

Left border = Fibonacci numbers, A000045.

Right border = F(n)^2, A007598.

Row sums = A143212: (1, 2, 8, 21, 60, 160, 429,...).

Links

Table of n, a(n) for n=1..63.

Formula

Triangle read by rows, T(n,k) = F(n)*F(k), 1<=k<=n; = A127647 * A000012 * A127647, as infinite lower triangular matrices.

Example

First few rows of the triangle =
1;
1, 1;
2, 2, 4;
3, 3, 6, 9;
5, 5, 10, 15, 25;
8, 8, 16, 24, 40, 64;
13, 13, 26, 39, 65, 104, 169;
21, 21, 42, 63, 105, 168, 273, 441;
...
Example: T(8,7) = 273 = 21*13

Crossrefs

Cf. A000045, A007598, A127647, A143212.

Sequence in context: A205678 A128590 A143228 * A361757 A209755 A131052

Adjacent sequences: A143208 A143209 A143210 * A143212 A143213 A143214

Keyword

nonn,tabl

Author

Gary W. Adamson, Jul 30 2008

Status

approved