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A143211 Triangle read by rows, T(n,k) = F(n)*F(k); 1<=k<=n. 3

%I #2 Mar 30 2012 17:25:29

%S 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,

%T 169,21,21,42,63,105,168,273,441,34,34,68,102,170,272,442,714,1156,55,

%U 55,110,165,275,440,715,1155,1870,3025,89,89,178,267,445,712,1157,1869

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

%C Left border = Fibonacci numbers, A000045.

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

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

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

%e First few rows of the triangle =

%e 1;

%e 1, 1;

%e 2, 2, 4;

%e 3, 3, 6, 9;

%e 5, 5, 10, 15, 25;

%e 8, 8, 16, 24, 40, 64;

%e 13, 13, 26, 39, 65, 104, 169;

%e 21, 21, 42, 63, 105, 168, 273, 441;

%e ...

%e Example: T(8,7) = 273 = 21*13

%Y Cf. A000045, A007598, A127647, A143212.

%K nonn,tabl

%O 1,4

%A _Gary W. Adamson_, Jul 30 2008

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Last modified March 28 13:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)