7,31,71,127,199,287........... what is the logic behind this series....??

Answer 1

after i meditated for a long time, i found a formula. we can find the number N using : 8 x N^2 - 1

^ is squared

Answer 2

That is simple, have a look at the differences between two numbers next to each other and you'll find your logic!
E.g.:
(31-7) <-> (71-31) <-> (127-71) and so on...