A number theory problem by Bhavya Jain

Number Theory Level pending

If n n is a positive multiple of 6, what is the value of

∑ r = 0 ∞ ( n 2 r − 1 ) × 3 r = ? \sum_{r=0} ^\infty { n \choose 2r-1 } \times 3^r = ?

0 1 -1 109

Bhavya Jain by Bhavya Jain , 23, India

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