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Putnam 1960 B2

Source: Putnam 1960

June 11, 2022
Putnaminfinite seriesseries

Problem Statement

Evaluate the double series j=0k=023kj(k+j)2.\sum_{j=0}^{\infty} \sum_{k=0}^{\infty} 2^{-3k -j -(k+j)^{2}}.