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A282904 Concatenation of the numbers 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 #6 Feb 24 2017 17:56:56

%S 1,1,1,2,1,1,1,2,2,2,3,1,1,1,1,2,2,2,2,2,2,3,3,3,3,4,1,1,1,1,1,2,2,2,

%T 2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,5,1,1,1,1,1,1,2,2,2,2,2,

%U 2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3

%N Concatenation of the numbers 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 number of elements of these subsets:

%e 1;

%e 1, 1, 2;

%e 1, 1, 1, 2, 2, 2, 3;

%e ...

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

%Y Cf. A193360, A282905, A221914.

%K nonn

%O 1,4

%A _Jaroslav Krizek_, Feb 24 2017

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Last modified April 24 19:31 EDT 2024. Contains 371962 sequences. (Running on oeis4.)