A176808 Triangle read by rows: T(n,m)=Floor[(n - 1)/m], 1<=m<=n.

0, 1, 0, 2, 1, 0, 3, 1, 1, 0, 4, 2, 1, 1, 0, 5, 2, 1, 1, 1, 0, 6, 3, 2, 1, 1, 1, 0, 7, 3, 2, 1, 1, 1, 1, 0, 8, 4, 2, 2, 1, 1, 1, 1, 0, 9, 4, 3, 2, 1, 1, 1, 1, 1, 0

Offset

1,4

Comments

A010766 augmented by trailing zeros.

References

F. S. Roberts, Applied Combinatorics, Prentice-Hall, 1984, p. 321.

Links

Table of n, a(n) for n=1..55.

Example

0;
1, 0;
2, 1, 0;
3, 1, 1, 0;
4, 2, 1, 1, 0;
5, 2, 1, 1, 1, 0;
6, 3, 2, 1, 1, 1, 0;
7, 3, 2, 1, 1, 1, 1, 0;
8, 4, 2, 2, 1, 1, 1, 1, 0;
9, 4, 3, 2, 1, 1, 1, 1, 1, 0;

Maple

A176808 := proc(n, m)
    floor((n-1)/m) ;
end proc: # R. J. Mathar, Feb 18 2016

Mathematica

t[n_, m_] = Floor[(n - 1)/m];
Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}];
Flatten[%]

Crossrefs

Cf. A006218 (row sums), A174557.

Sequence in context: A218254 A285037 A264422 * A327029 A167192 A335435

Adjacent sequences: A176805 A176806 A176807 * A176809 A176810 A176811

Keyword

nonn,tabl,easy

Author

Roger L. Bagula, Apr 26 2010

Status

approved