Jacobsthal numbers

The Jacobsthal numbers are the numbers obtained by the Uns in the Lucas sequence with P=1 and Q=-2, corresponding to a = 2 and b = -1.

Jacobsthal numbers are defined by the recurrence relation: 

1 \end{matrix}\right.} " title="Rendered by QuickLaTeX.com" height="95" width="377" style="vertical-align: 5px;">

The first Jacobsthal numbers are: 

0, 1, 1, 3, 5, 11, 21, 43, 85, 171, 341, 683, 1365, 2731, 5461, 10923, 21845, 43691, ……

Jacobsthal and Jacobsthal-Lucas numbers

Similar Reads

Jacobsthal numbers

The Jacobsthal numbers are the numbers obtained by the Uns in the Lucas sequence with P=1 and Q=-2, corresponding to a = 2 and b = -1....

Jacobsthal-Lucas numbers

Jacobsthal-Lucas numbers represent the complementary Lucas sequence Vn(1, -2). They satisfy the same recurrence relation as Jacobsthal numbers but have different initial values:...

Contact Us