cp's OEIS Frontend

A230846 1 + A075526(n).

%I A230846 #11 Dec 12 2023 10:27:10
%S A230846 2,2,3,3,5,3,5,3,5,7,3,7,5,3,5,7,7,3,7,5,3,7,5,7,9,5,3,5,3,5,15,5,7,3,
%T A230846 11,3,7,7,5,7,7,3,11,3,5,3,13,13,5,3,5,7,3,11,7,7,7,3,7,5,3,11,15,5,3,
%U A230846 5,15,7,11,3,5,7,9,7,7,5,7,9,5,9,11,3,11,3,7,5,7,9,5,3,5,13,9,5,9,5,7
%N A230846 1 + A075526(n).
%C A230846 Partial sums give A095116.
%e A230846 On the first quadrant of the square grid consider a diagram in which the n-th horizontal bar contains A006093(n) cells and in which the number of cells in the vertical bars gives A000720 as shown below. a(n) is the sum of the length of the n-th horizontal boundary segment and the length of the n-th vertical boundary segment between the structure formed by the horizontal bars and the structure formed by the vertical bars, hence a(n) = A075526(n) + 1. The total length of the boundary segments from [0, 0] after n-th stage is A095116(n).
%e A230846 .    _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
%e A230846 30  |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _|
%e A230846 28  |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | |
%e A230846 22  |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | | | | | | | |
%e A230846 18  |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | | | | | | | | | | | |
%e A230846 16  |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | | | | | | | | | | | | | |
%e A230846 12  |_ _ _ _ _ _ _ _ _ _ _ _| | | | | | | | | | | | | | | | | | |
%e A230846 10  |_ _ _ _ _ _ _ _ _ _| | | | | | | | | | | | | | | | | | | | |
%e A230846 6   |_ _ _ _ _ _| | | | | | | | | | | | | | | | | | | | | | | | |
%e A230846 4   |_ _ _ _| | | | | | | | | | | | | | | | | | | | | | | | | | |
%e A230846 2   |_ _| | | | | | | | | | | | | | | | | | | | | | | | | | | | |
%e A230846 1   |_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|
%e A230846 .
%e A230846 .    0 1 2 2 3 3 4 4 4 4 5 5 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 10 10
%e A230846 .
%Y A230846 Cf. A000720, A006093, A014688, A054541, A075526, A095116.
%Y A230846 Essentially the same as A076368.
%K A230846 nonn
%O A230846 1,1
%A A230846 _Omar E. Pol_, Nov 01 2013