cp's OEIS Frontend

A354268 Table read by rows. T(n, k) = (n + k)^(n - 1) for n >= 1 and 0 <= k <= n, T(0, 0) = 0.

%I A354268 #5 Jun 15 2022 01:47:06
%S A354268 0,1,1,2,3,4,9,16,25,36,64,125,216,343,512,625,1296,2401,4096,6561,
%T A354268 10000,7776,16807,32768,59049,100000,161051,248832,117649,262144,
%U A354268 531441,1000000,1771561,2985984,4826809,7529536,2097152,4782969,10000000,19487171,35831808,62748517,105413504,170859375,268435456
%N A354268 Table read by rows. T(n, k) = (n + k)^(n - 1) for n >= 1 and 0 <= k <= n, T(0, 0) = 0.
%e A354268 Table T(n, k) begins:
%e A354268 [0]      0;
%e A354268 [1]      1,      1;
%e A354268 [2]      2,      3,      4;
%e A354268 [3]      9,     16,     25,      36;
%e A354268 [4]     64,    125,    216,     343,     512;
%e A354268 [5]    625,   1296,   2401,    4096,    6561,   10000;
%e A354268 [6]   7776,  16807,  32768,   59049,  100000,  161051,  248832;
%e A354268 [7] 117649, 262144, 531441, 1000000, 1771561, 2985984, 4826809, 7529536;
%p A354268 T := (n, k) -> ifelse(n = 0, 0, (n + k)^(n - 1)):
%p A354268 for n from 0 to 8 do seq(T(n, k), k = 0..n) od;
%Y A354268 Cf. A000169 (column 0), A052746 (main diagonal).
%K A354268 nonn,tabl
%O A354268 0,4
%A A354268 _Peter Luschny_, Jun 12 2022