Abstract
In 1979 R. Apéry introduced the numbers a n = Σ 0 n ( k n ) 2( k n + k ) and u n = Σ 0 n ( k n ) 2( k n + k ) 2 in his irrationality proof for ζ(2) and ζ(3). We prove some congruences for these numbers which generalize congruences previously published in this journal.
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