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A354268
Table read by rows. T(n, k) = (n + k)^(n - 1) for n >= 1 and 0 <= k <= n, T(0, 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
0,4
EXAMPLE
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;
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;
CROSSREFS
Cf. A000169 (column 0), A052746 (main diagonal).
Sequence in context: A119721 A098969 A235401 * A281882 A325436 A346777
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Jun 12 2022
STATUS
approved