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A057075 Table read by antidiagonals of T(n,k)=floor(n^n/k) with n,k >= 1.

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%I A057075 #17 Aug 12 2023 11:09:57
%S A057075 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 A057075 1041,23328,823543,0,0,4,51,781,15552,411771,16777216,0,0,3,42,625,
%U A057075 11664,274514,8388608,387420489,0,0,3,36,520,9331,205885,5592405,193710244,10000000000
%N A057075 Table read by antidiagonals of T(n,k)=floor(n^n/k) with n,k >= 1.
%H A057075 Seiichi Manyama, <a href="/A057075/b057075.txt">Antidiagonals n = 1..140, flattened</a>
%e A057075 From _Seiichi Manyama_, Aug 12 2023: (Start)
%e A057075 Square array begins:
%e A057075       1,     0,     0,     0,    0,    0, ...
%e A057075       4,     2,     1,     1,    0,    0, ...
%e A057075      27,    13,     9,     6,    5,    4, ...
%e A057075     256,   128,    85,    64,   51,   42, ...
%e A057075    3125,  1562,  1041,   781,  625,  520, ...
%e A057075   46656, 23328, 15552, 11664, 9331, 7776, ... (End)
%o A057075 (PARI) T(n, k) = n^n\k; \\ _Seiichi Manyama_, Aug 12 2023
%Y A057075 Rows are: A000007 (essentially), A033324, A033347, A057066-A057074.
%Y A057075 Columns include A000312 and A057065.
%Y A057075 Leading diagonal is A000169.
%Y A057075 Cf. A060155.
%K A057075 nonn,tabl
%O A057075 1,3
%A A057075 _Henry Bottomley_, Jul 31 2000