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

0, 1, 1, 2, 3, 4, 9, 16, 25, 36, 64, 125, 216, 343, 512, 625, 1296, 2401, 4096, 6561, 10000, 7776, 16807, 32768, 59049, 100000, 161051, 248832, 117649, 262144, 531441, 1000000, 1771561, 2985984, 4826809, 7529536, 2097152, 4782969, 10000000, 19487171, 35831808, 62748517, 105413504, 170859375, 268435456

Offset: 0

Author

Peter Luschny, Jun 12 2022

Keywords

• nonn
• tabl

Examples

			Table T(n, k) begins:
[0]      0;
[1]      1,      1;
[2]      2,      3,      4;
[3]      9,     16,     25,      36;
[4]     64,    125,    216,     343,     512;
[5]    625,   1296,   2401,    4096,    6561,   10000;
[6]   7776,  16807,  32768,   59049,  100000,  161051,  248832;
[7] 117649, 262144, 531441, 1000000, 1771561, 2985984, 4826809, 7529536;
		

Crossrefs

Cf. A000169 (column 0), A052746 (main diagonal).

Programs

Maple

T := (n, k) -> ifelse(n = 0, 0, (n + k)^(n - 1)):
for n from 0 to 8 do seq(T(n, k), k = 0..n) od;