A060155 Table T(n,k) by antidiagonals of floor(n^k/k) [n,k >= 1].

1, 0, 2, 0, 2, 3, 0, 2, 4, 4, 0, 4, 9, 8, 5, 0, 6, 20, 21, 12, 6, 0, 10, 48, 64, 41, 18, 7, 0, 18, 121, 204, 156, 72, 24, 8, 0, 32, 312, 682, 625, 324, 114, 32, 9, 0, 56, 820, 2340, 2604, 1555, 600, 170, 40, 10, 0, 102, 2187, 8192, 11160, 7776, 3361, 1024, 243, 50, 11

Offset

1,3

Links

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

Formula

T(n, k) = (A051129(n, k)-A060154(n, k))/k.

Example

T(5,3)=[5^3/3]=[125/3]=41.
Rows start:
  1,  0,  0,   0,   0, ...
  2,  2,  2,   4,   6, ...
  3,  4,  9,  20,  48, ...
  4,  8, 21,  64, 204, ...
  5, 12, 41, 156, 625, ...

Crossrefs

Rows include A000007, A000799, A092763, A129794, A129795, A129796, A129797, A129798, A129799, A060156.

Columns include A000027, A007590.

Diagonals include A000169.

Sequence in context: A247303 A067871 A198632 * A209127 A127954 A198061

Adjacent sequences: A060152 A060153 A060154 * A060156 A060157 A060158

Keyword

nonn,tabl

Author

Henry Bottomley, Mar 12 2001

Status

approved