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A331148 Triangle read by rows: T(n,k) (n>=k>=1) = f(n,n-k+1) where f(n,k) = floor((n/k)*floor(n/k)). 0

%I #13 Dec 02 2020 05:35:27

%S 1,1,4,1,1,9,1,1,4,16,1,1,1,5,25,1,1,1,4,9,36,1,1,1,1,4,10,49,1,1,1,1,

%T 4,5,16,64,1,1,1,1,1,4,9,18,81,1,1,1,1,1,4,5,10,25,100,1,1,1,1,1,1,4,

%U 5,11,27,121,1,1,1,1,1,1,4,4,9,16,36,144,1,1,1,1,1,1,1,4,5,9,17,39,169

%N Triangle read by rows: T(n,k) (n>=k>=1) = f(n,n-k+1) where f(n,k) = floor((n/k)*floor(n/k)).

%H Robert J. McEliece and Herbert Taylor, <a href="https://doi.org/10.1016/0097-3165(73)90069-1">Covering tori with squares</a>, Journal of Combinatorial Theory, Series A 14.1 (1973): 119-124.

%e Triangle begins:

%e 1,

%e 1, 4,

%e 1, 1, 9,

%e 1, 1, 4, 16,

%e 1, 1, 1, 5, 25,

%e 1, 1, 1, 4, 9, 36,

%e 1, 1, 1, 1, 4, 10, 49,

%e 1, 1, 1, 1, 4, 5, 16, 64,

%e 1, 1, 1, 1, 1, 4, 9, 18, 81,

%e 1, 1, 1, 1, 1, 4, 5, 10, 25, 100,

%e 1, 1, 1, 1, 1, 1, 4, 5, 11, 27, 121,

%e 1, 1, 1, 1, 1, 1, 4, 4, 9, 16, 36, 144,

%e 1, 1, 1, 1, 1, 1, 1, 4, 5, 9, 17, 39, 169,

%e ...

%Y Cf. A331145-A331154.

%K nonn,tabl

%O 1,3

%A _N. J. A. Sloane_, Jan 14 2020

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Last modified September 9 04:58 EDT 2024. Contains 375759 sequences. (Running on oeis4.)