Another congruence for the Apéry numbers

Abstract In 1979 R. Apery introduced the numbers a n = Σ 0 n ( k n ) 2 ( k n + k ) 2 in his irrationality proof for ζ(3). We prove some congruences for these numbers, which extend congruences previously published in J. Number Theory (Vol. 12, 14, 16, and 21).