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A143038 Triangle read by rows, A000012 * A134309 * A000012, where A134309 = an infinite lower triangular matrix with (1, 1, 2, 4, 8, 16, ...) in the main diagonal and the rest zeros. 1

%I #15 Feb 08 2022 22:01:28

%S 1,1,2,2,3,4,4,6,7,8,8,12,14,15,16,16,24,28,30,31,32,32,48,56,60,62,

%T 63,64,64,96,112,120,124,126,127,128,128,192,224,240,248,252,254,255,

%U 256,256,384,448,480,496,504,508,510,511,512

%N Triangle read by rows, A000012 * A134309 * A000012, where A134309 = an infinite lower triangular matrix with (1, 1, 2, 4, 8, 16, ...) in the main diagonal and the rest zeros.

%C Row sums = A002064, the Cullen numbers (1, 3, 9, 25, 65, 161, 385, ...).

%F a(n) = 2^i - 2^(i-1-j)*[j<i], where i = A003056(n), j = A002262(n). - _Yuchun Ji_, May 15 2020

%e First few rows of the triangle:

%e 1;

%e 1, 2;

%e 2, 3, 4;

%e 4, 6 , 7, 8;

%e 8, 12, 14, 15, 16;

%e 16, 24, 28, 30, 21, 32;

%e 32, 48, 56, 60, 62, 63, 64;

%e ...

%Y Cf. A134309, A002064.

%Y Cf. A002262, A003056, A023532.

%K nonn,tabl

%O 0,3

%A _Gary W. Adamson_, Jul 18 2008

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Last modified April 16 05:35 EDT 2024. Contains 371697 sequences. (Running on oeis4.)