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A060155
Table T(n,k) by antidiagonals of floor(n^k/k) [n,k >= 1].
4
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
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
Columns include A000027, A007590.
Diagonals include A000169.
Sequence in context: A247303 A067871 A198632 * A209127 A127954 A198061
KEYWORD
nonn,tabl
AUTHOR
Henry Bottomley, Mar 12 2001
STATUS
approved