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%I #26 Sep 18 2018 09:17:35
%S 1,4,31,400,16105,402234,25646167,943531280,81870575521,
%T 15025258332150,846949229880161,182859777940000980,
%U 23127577557875340733,1759175174860440565844,262246703278703657363377,74543635579202247026882160,21930887362370823132822661921,2279217547342466764922495586798
%N a(n) is the sum of the first n nonnegative powers of the n-th prime.
%F a(n) = Sum_{k=0..n-1} A000040(n)^k.
%F a(n) = Sum_{k=0..n-1} A319075(k,n).
%F a(n) = (A000040(n)^n - 1)/(A000040(n) - 1).
%F a(n) = (A062457(n) - 1)/A006093(n).
%F a(n) = A069459(n)/A006093(n).
%F a(n) = A000203(A000040(n)^(n-1)).
%F a(n) = A000203(A093360(n)).
%e For n = 4 the 4th prime is 7 and the sum of the first four nonnegative powers of 7 is 7^0 + 7^1 + 7^2 + 7^3 = 1 + 7 + 49 + 343 = 400, so a(4) = 400.
%o (PARI) a(n) = sum(k=0, n-1, prime(n)^k); \\ _Michel Marcus_, Sep 13 2018
%Y Main diagonal of A319076.
%Y Cf. A000040, A000203, A006093, A062457, A069459, A093360, A319075.
%Y Cf. A000079, A000244, A000351, A000420, A001020, A001022, A001026, A001029, A009967, A009973, A009975, A009981, A009985, A009987, A009991.
%Y Cf. A126646, A003462, A003463, A023000, A016123, A091030, A091045, A218722, A218726, A218732, A218734, A218740, A218744, A218746, A218750.
%K nonn
%O 1,2
%A _Omar E. Pol_, Sep 11 2018
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