This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A364870 #10 Aug 12 2023 00:55:05
%S A364870 1,1,1,4,2,1,27,9,3,1,256,64,16,4,1,3125,625,125,25,5,1,46656,7776,
%T A364870 1296,216,36,6,1,823543,117649,16807,2401,343,49,7,1,16777216,2097152,
%U A364870 262144,32768,4096,512,64,8,1,387420489,43046721,4782969,531441,59049,6561,729,81,9,1
%N A364870 Array read by ascending antidiagonals: A(n, k) = (n + k)^n, with k >= 0.
%F A364870 E.g.f. of k-th column: LambertW(-x)^k/(x^k*(1 + LambertW(-x))).
%e A364870 The array begins:
%e A364870 1, 1, 1, 1, 1, 1, ...
%e A364870 1, 2, 3, 4, 5, 6, ...
%e A364870 4, 9, 16, 25, 36, 49, ...
%e A364870 27, 64, 125, 216, 343, 512, ...
%e A364870 256, 625, 1296, 2401, 4096, 6561, ...
%e A364870 3125, 7776, 16807, 32768, 59049, 100000, ...
%e A364870 ...
%t A364870 A[n_,k_]:=(n+k)^n; Join[{1},Table[A[n-k,k],{n,9},{k,0,n}]]//Flatten
%Y A364870 Cf. A000012 (n=0), A000169, A000272, A000312 (k=0), A007830 (k=3), A008785 (k=4), A008786 (k=5), A008787 (k=6), A031973 (antidiagonal sums), A052746 (2nd superdiagonal), A052750, A062971 (main diagonal), A079901 (read by descending antidiagonals), A085527 (1st superdiagonal), A085528 (1st subdiagonal), A085532, A099753.
%K A364870 nonn,easy,tabl
%O A364870 0,4
%A A364870 _Stefano Spezia_, Aug 11 2023