Now the Grandi series, its 1-1+1-1+1-1+1...
Obviously, this adds up to 1/2 as it oscillates between 1 and 0. You can get deeper on this and consult Grandi, and his many discussers, but this is reasonable. Grandi is 1/2, the average of 1-1+1-1...
Two narcberries is cleary one Grandi from the previous post. So, 2n = 1b; and then b = 1/2, so 2n =1/2 or n = 1/4. A narcberry is clearly 1/4.
So the Neil series is then (1+2+3...)
So, Neil minus a narcberry is then x= (1+2+3..) - 1/4, or x = 4 times a Neil