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A181802 Triangle read by rows: T(n,k) is k-th smallest divisor of n that is highly composite (A002182).

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%I A181802 #7 Feb 16 2025 08:33:13
%S A181802 1,1,2,1,1,2,4,1,1,2,6,1,1,2,4,1,1,2,1,1,2,4,6,12,1,1,2,1,1,2,4,1,1,2,
%T A181802 6,1,1,2,4,1,1,2,1,1,2,4,6,12,24,1,1,2,1,1,2,4,1,1,2,6,1,1,2,4,1,1,2,
%U A181802 1,1,2,4,6,12,36,1,1,2,1,1,2,4,1,1,2,6,1,1,2,4,1,1,2,1,1,2,4,6,12,24,48
%N A181802 Triangle read by rows: T(n,k) is k-th smallest divisor of n that is highly composite (A002182).
%C A181802 Row n contains A181801(n) numbers. T(n,k) * A180803(n, A181801(n)-k+1) = n.
%C A181802 Row n is identical to row (n+12) if n is not a multiple of 12.
%H A181802 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HighlyCompositeNumber.html">Highly composite number</a>
%F A181802 T(n,k) = n/(A180803(n, A181801(n)-k+1)).
%e A181802 First rows read: 1; 1,2; 1; 1,2,4; 1; 1,2,6; 1; 1,2,4; 1; 1,2; 1; 1,2,4,6,12;...
%e A181802 8 has four divisors, of which three (1, 2 and 4) are members of A002182. Row 8 therefore reads 1, 2, 4.
%Y A181802 See also A181804, A181805, A181806, A181807.
%K A181802 nonn,tabf
%O A181802 1,3
%A A181802 _Matthew Vandermast_, Nov 27 2010