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

%I #5 Feb 18 2016 14:33:50

%S 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,

%T 1,0,8,4,2,2,1,1,1,1,0,9,4,3,2,1,1,1,1,1,0

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

%C A010766 augmented by trailing zeros.

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

%e 0;

%e 1, 0;

%e 2, 1, 0;

%e 3, 1, 1, 0;

%e 4, 2, 1, 1, 0;

%e 5, 2, 1, 1, 1, 0;

%e 6, 3, 2, 1, 1, 1, 0;

%e 7, 3, 2, 1, 1, 1, 1, 0;

%e 8, 4, 2, 2, 1, 1, 1, 1, 0;

%e 9, 4, 3, 2, 1, 1, 1, 1, 1, 0;

%p A176808 := proc(n,m)

%p floor((n-1)/m) ;

%p end proc: # _R. J. Mathar_, Feb 18 2016

%t t[n_, m_] = Floor[(n - 1)/m];

%t Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}];

%t Flatten[%]

%Y Cf. A006218 (row sums), A174557.

%K nonn,tabl,easy

%O 1,4

%A _Roger L. Bagula_, Apr 26 2010

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)