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A143614 Triangle read by rows: A054521 * A051731 as infinite lower triangular matrices.

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%I A143614 #6 May 29 2023 13:01:33
%S A143614 1,1,0,2,1,0,2,0,1,0,4,2,1,1,0,2,0,0,0,1,0,6,3,2,1,1,1,0,4,0,1,0,1,0,
%T A143614 1,0,6,3,0,2,1,0,1,1,0,4,0,2,0,0,0,1,0,1,0,10,5,3,2,2,1,1,1,1,1,0,4,0,
%U A143614 0,0,1,0,1,0,0,0,1,0,12,6,4,3,2,2,1,1,1,1,1,1,0,6,0,2,0,1,0,0,0,1,0,1,0,1,0
%N A143614 Triangle read by rows: A054521 * A051731 as infinite lower triangular matrices.
%C A143614 Left border = phi(n), A000010: (1, 1, 2, 2, 4, 2, 6,...).
%C A143614 Row sums = A143615: (1, 1, 3, 3, 8, 3, 14, 7,...).
%F A143614 A054521 records the relative primes of n, indicated by a 1's in row n, 0 otherwise. A051731 = the inverse Moebius transform, in which 1's by rows indicate the divisors of n, 0 otherwise.
%e A143614 First few rows of the triangle =
%e A143614 1;
%e A143614 1, 0;
%e A143614 2, 1, 0;
%e A143614 2, 0, 1, 0;
%e A143614 4, 2, 1, 1, 0;
%e A143614 2, 0, 0, 0, 1, 0;
%e A143614 6, 3, 2, 1, 1, 1, 0;
%e A143614 4, 0, 1, 0, 1, 0, 1, 0;
%e A143614 6, 3, 0, 2, 1, 0, 1, 1, 0;
%e A143614 ...
%Y A143614 Cf. A000010, A051731, A054521, A143615.
%K A143614 nonn,tabl
%O A143614 1,4
%A A143614 _Gary W. Adamson_, Aug 27 2008
%E A143614 a(96) and a(101) split by _Georg Fischer_, May 29 2023