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A278481 Number of neighbors of the n-th term in a full isosceles triangle read by rows. 3

%I #17 Nov 23 2016 11:30:24

%S 2,4,4,4,6,4,4,6,6,4,4,6,6,6,4,4,6,6,6,6,4,4,6,6,6,6,6,4,4,6,6,6,6,6,

%T 6,4,4,6,6,6,6,6,6,6,4,4,6,6,6,6,6,6,6,6,4,4,6,6,6,6,6,6,6,6,6,4,4,6,

%U 6,6,6,6,6,6,6,6,6,4,4,6,6,6,6,6,6,6,6,6,6,6,4

%N Number of neighbors of the n-th term in a full isosceles triangle read by rows.

%C Apart from the left border and the right border, the rest of the elements are 6's.

%C For the same idea but for a right triangle see A278480; for a square array see A278545, for a square spiral see A010731; and for a hexagonal spiral see A010722.

%e The sequence written as an isosceles triangle begins:

%e .

%e . 2;

%e . 4, 4;

%e . 4, 6, 4;

%e . 4, 6, 6, 4;

%e . 4, 6, 6, 6, 4;

%e . 4, 6, 6, 6, 6, 4;

%e . 4, 6, 6, 6, 6, 6, 4;

%e . 4, 6, 6, 6, 6, 6, 6, 4;

%e . 4, 6, 6, 6, 6, 6, 6, 6, 4;

%e . 4, 6, 6, 6, 6, 6, 6, 6, 6, 4;

%e ...

%Y Row sums give A016933.

%Y Left border gives A040002, the same as the right border.

%Y Middle column gives the elements > 1 of A134201, also twice A122553.

%Y Cf. A010722, A010731, A275015, A278317, A278480, A278545.

%K nonn,tabl

%O 1,1

%A _Omar E. Pol_, Nov 23 2016

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Last modified July 16 21:48 EDT 2024. Contains 374358 sequences. (Running on oeis4.)