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A282936 Concatenation of the products of elements of P{d_1}, P{d_2}, P{d_3}, ..., P{d_n}; where P{d_n} denote the power set of the set of divisors of n ordered by the size of the subsets, and in each subset, following the increasing order. 2

%I #4 Mar 03 2017 20:44:46

%S 1,1,2,2,1,3,3,1,2,4,2,4,8,8,1,5,5,1,2,3,6,2,3,6,6,12,18,6,12,18,36,

%T 36,1,7,7,1,2,4,8,2,4,8,8,16,32,8,16,32,64,64,1,3,9,3,9,27,27,1,2,5,

%U 10,2,5,10,10,20,50,10,20,50,100,100,1,11,11,1,2,3

%N Concatenation of the products of elements of P{d_1}, P{d_2}, P{d_3}, ..., P{d_n}; where P{d_n} denote the power set of the set of divisors of n ordered by the size of the subsets, and in each subset, following the increasing order.

%e Rows with power sets of set of divisors of n (without nonempty sets):

%e {1};

%e {1}, {2}, {1, 2};

%e {1}, {3}, {1, 3};

%e {1}, {2}, {4}, {1, 2}, {1, 4}, {2, 4}, {1, 2, 4};

%e ...

%e Rows with the products of elements of these subsets:

%e 1;

%e 1, 2, 2;

%e 1, 3, 3;

%e 1, 2, 4, 2, 4, 8, 8;

%e ...

%e Concatenation: 1, 1, 2, 2, 1, 3, 3, 1, 2, 4, 2, 4, 8, 8, ...

%Y Cf. A282903, A282934, A282935.

%K nonn

%O 1,3

%A _Jaroslav Krizek_, Feb 25 2017

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Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)