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A282905 Concatenation of the sums of elements of P{1}, P{1, 2}, P{1, 2, 3}, ..., P{1, 2, 3, ..., n}; where P{A} denote the power set of set A ordered by the size of the subsets, and in each subset, following the increasing order. 1

%I #4 Feb 24 2017 17:57:05

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

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

%U 3,4,5,6,7,5,6,7,8,7,8,9,9,10,11,6,7,8,9,8

%N Concatenation of the sums of elements of P{1}, P{1, 2}, P{1, 2, 3}, ..., P{1, 2, 3, ..., n}; where P{A} denote the power set of set A ordered by the size of the subsets, and in each subset, following the increasing order.

%e Rows with power sets of set of numbers from 1 to n (without nonempty sets):

%e {1};

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

%e {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3};

%e ...

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

%e 1;

%e 1, 2, 3;

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

%e ...

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

%Y Cf. A193360, A282904, A221914.

%K nonn

%O 1,3

%A _Jaroslav Krizek_, Feb 24 2017

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