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A282935 Concatenation of the sums 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. 8

%I #4 Mar 03 2017 20:44:39

%S 1,1,2,3,1,3,4,1,2,4,3,5,6,7,1,5,6,1,2,3,6,3,4,7,5,8,9,6,9,10,11,12,1,

%T 7,8,1,2,4,8,3,5,9,6,10,12,7,11,13,14,15,1,3,9,4,10,12,13,1,2,5,10,3,

%U 6,11,7,12,15,8,13,16,17,18,1,11,12,1,2,3,4,6

%N Concatenation of the sums 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 sums of elements of these subsets:

%e 1;

%e 1, 2, 3;

%e 1, 3, 4;

%e 1, 2, 4, 3, 5, 6, 7;

%e ...

%e Concatenation: 1, 1, 2, 3, 1, 3, 4, 1, 2, 4, 3, 5, 6, 7, ...

%Y Cf. A282903, A282934, A282936.

%K nonn

%O 1,3

%A _Jaroslav Krizek_, Feb 25 2017

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Last modified September 15 22:11 EDT 2024. Contains 375959 sequences. (Running on oeis4.)