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I'm sorry I was not clear. It's not the negative part I don't get, it's the "every other number". Other than what? I'm not an english native speaker so it might be a math-related english expression I don't know. Is it?

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"every other number" == "every second number", i.e. the first, third, fifth ... coefficients are positive, while the second, fourth, sixth .. coefficients are negative. Hope this helps.

"every other X" usually means, every even or every odd X, like:

... 0 1 0 2 0 3 0 4 0 5 ...

Every other number is 0 above.

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