7,14,23,34,47,62,79,98,119,142,167,194,...

We notice that if we add 2 to each of those we get this 
familiar sequence of squares:

9,16,25,36,49,64,81,100,121,144,169,196,...

which equals

3²,4²,5²,6²,7²,8²,9²,10²,11²,12²,13²,14²,...

Connecting it with the sequence 1,2,3,...

(1+2)²,(2+2)²,(3+2)²,(4+2)²,(5+2)²,(6+2)²,(7+2)²,(8+2)²,(9+2)²,(10+2)²,(11+2)²,(12+2)², 
which has nth term (n+2)².

The original sequence has terms which are 2 less than the terms of this
sequence, so the nth term of the original sequence is (n+2)²-2 = n²+4n+4-2 or
n²+4n+2

So the nth number is n²+4n+2.

Edwin