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This is a question on Hankel determinant. Is there a closed form for determinant of the Hankel matrix of the sequence $\{1, a, a^2,\cdots, a^{2n+2}\}$?

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Why does the sequence run up to $2n+2$? –  Phira Nov 24 '11 at 20:11
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Please post your second question as a new question. –  Phira Nov 24 '11 at 21:26

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up vote 4 down vote accepted

If I interpret your question correctly, then I suggest that you multiply the first row by $a$ and subtract it from the second row. The determinant of the resulting matrix should be easy to calculate.

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Thanks for your answer. –  Sunni Nov 24 '11 at 21:00

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