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

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, 1041, 23328, 823543, 0, 0, 4, 51, 781, 15552, 411771, 16777216, 0, 0, 3, 42, 625, 11664, 274514, 8388608, 387420489, 0, 0, 3, 36, 520, 9331, 205885, 5592405, 193710244, 10000000000

Offset

1,3

Links

Seiichi Manyama, Antidiagonals n = 1..140, flattened

Example

From Seiichi Manyama, Aug 12 2023: (Start)
Square array begins:
      1,     0,     0,     0,    0,    0, ...
      4,     2,     1,     1,    0,    0, ...
     27,    13,     9,     6,    5,    4, ...
    256,   128,    85,    64,   51,   42, ...
   3125,  1562,  1041,   781,  625,  520, ...
  46656, 23328, 15552, 11664, 9331, 7776, ... (End)

Prog

(PARI) T(n, k) = n^n\k; \\ Seiichi Manyama, Aug 12 2023

Crossrefs

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

Columns include A000312 and A057065.

Leading diagonal is A000169.

Cf. A060155.

Sequence in context: A346492 A145877 A283572 * A281653 A327305 A290328

Adjacent sequences: A057072 A057073 A057074 * A057076 A057077 A057078

Keyword

nonn,tabl

Author

Henry Bottomley, Jul 31 2000

Status

approved