Supercongruences for some lacunary sums of powers of binomial coefficients

Let a, n, m is an element of Z(+) with (a, p) = 1 and p be an odd prime. We find a supercongruence for Sigma p vertical bar k ((apn)(k))(m) and related sums of powers of binomial coefficients. These results complement prior results for Sigma(k=i (mod p)) ((apn)(k))(m) with i = 1, 2, . . . , p - 1 obtained recently by the author.