login
Table read by antidiagonals of T(n,k)=floor(n^n/k) with n,k >= 1.
10

%I #17 Aug 12 2023 11:09:57

%S 1,0,4,0,2,27,0,1,13,256,0,1,9,128,3125,0,0,6,85,1562,46656,0,0,5,64,

%T 1041,23328,823543,0,0,4,51,781,15552,411771,16777216,0,0,3,42,625,

%U 11664,274514,8388608,387420489,0,0,3,36,520,9331,205885,5592405,193710244,10000000000

%N Table read by antidiagonals of T(n,k)=floor(n^n/k) with n,k >= 1.

%H Seiichi Manyama, <a href="/A057075/b057075.txt">Antidiagonals n = 1..140, flattened</a>

%e From _Seiichi Manyama_, Aug 12 2023: (Start)

%e Square array begins:

%e 1, 0, 0, 0, 0, 0, ...

%e 4, 2, 1, 1, 0, 0, ...

%e 27, 13, 9, 6, 5, 4, ...

%e 256, 128, 85, 64, 51, 42, ...

%e 3125, 1562, 1041, 781, 625, 520, ...

%e 46656, 23328, 15552, 11664, 9331, 7776, ... (End)

%o (PARI) T(n, k) = n^n\k; \\ _Seiichi Manyama_, Aug 12 2023

%Y Rows are: A000007 (essentially), A033324, A033347, A057066-A057074.

%Y Columns include A000312 and A057065.

%Y Leading diagonal is A000169.

%Y Cf. A060155.

%K nonn,tabl

%O 1,3

%A _Henry Bottomley_, Jul 31 2000