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A282934 Concatenation of the numbers 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 #8 Nov 13 2017 03:01:57

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

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

%U 3,3,3,4,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2

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

%e 1;

%e 1, 1, 2;

%e 1, 1, 2;

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

%e ...

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

%t Table[Length /@ Rest[Subsets[Divisors[n]]], {n, 1, 12}] // Flatten (* _Jean-François Alcover_, Nov 13 2017 *)

%Y Cf. A282903, A282935, A282936.

%K nonn

%O 1,4

%A _Jaroslav Krizek_, Feb 25 2017

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Last modified July 14 17:59 EDT 2024. Contains 374322 sequences. (Running on oeis4.)