If the sequence {an} satisfies A1 = 2 and an + an-1 = 2n + 2N-1, Sn is the sum of the first n terms of the sequence {an}, then log2 (s2012 + 2)=______ ．

If the sequence {an} satisfies A1 = 2 and an + an-1 = 2n + 2N-1, Sn is the sum of the first n terms of the sequence {an}, then log2 (s2012 + 2)=______ ．

∵ an + an-1 = 2n + 2N-1, Sn is the sum of the first n terms of the sequence {an}, s2012 = (a1 + A2) + (A3 + A4) + +（a2011+a2012）=（21+22）+（23+2⁴）+… +（22011+22012）=2+22+23+… +22012=2(1−22012)1−2=22013-2，∴S2012+2=22013，∴log2（S2012+...

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