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A127168 Triangle read by rows: square of A126988. 1

%I #6 May 31 2023 15:57:17

%S 1,4,1,6,0,1,12,4,0,1,10,0,0,0,1,24,6,4,0,0,1,14,0,0,0,0,0,1,32,12,0,

%T 4,0,0,0,1,27,0,6,0,0,0,0,0,1,40,10,0,0,4,0,0,0,0,1,22,0,0,0,0,0,0,0,

%U 0,0,1,72,24,12,6,0,4,0,0,0,0,0,1,26,0,0,0,0,0,0,0,0,0,0,0,1

%N Triangle read by rows: square of A126988.

%C Row sums = A060640: (1, 5, 7, 17, 11, 35, 15, 49...) Left column = A038040, d(n)*n: (1, 4, 6, 12, 10, 24, 14, 32, 27, 40...). A127168 * A008683 = A018804, (1, 3, 5, 8, 9, 15...); where A008683 = the Mobius sequence.

%e First few rows of the triangle are:

%e 1;

%e 4, 1;

%e 6, 0, 1;

%e 12, 4, 0, 1

%e 10, 0, 0, 0, 1

%e 24, 6, 4, 0, 0, 1

%e 14, 0, 0, 0, 0, 0, 1;

%e 32, 12, 0, 4, 0, 0, 0, 1;

%e ...

%Y Cf. A008683, A018804, A038040, A060640, A127169.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Jan 06 2007

%E a(20) = 1 inserted and more terms from _Georg Fischer_, May 31 2023

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)