cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A354705 T(w,h) = (w+1)*(h+1) - A354704(w,h) is an upper bound for the deficit in the number of grid points covered by an optimally positioned and rotated cover compared to the excluded singular case of an axis-parallel, unshifted cover, where T(w,h) and A354704 are triangles read by rows.

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%I A354705 #15 Sep 19 2022 14:13:43
%S A354705 2,3,4,3,4,3,4,5,5,7,4,6,4,6,4,5,7,5,8,6,8,6,7,7,10,8,11,11,6,8,6,9,6,
%T A354705 9,12,9,7,9,7,11,8,11,12,12,11,7,10,6,10,6,9,13,9,12,8,8,11,8,12,8,12,
%U A354705 15,12,15,12,16,9,11,9,13,10,14,16,15,16,15,19,20
%N A354705 T(w,h) = (w+1)*(h+1) - A354704(w,h) is an upper bound for the deficit in the number of grid points covered by an optimally positioned and rotated cover compared to the excluded singular case of an axis-parallel, unshifted cover, where T(w,h) and A354704 are triangles read by rows.
%C A354705 See A354707 for an interpretation of the diagonal terms.
%H A354705 Hugo Pfoertner, <a href="/A354705/b354705.txt">Table of n, a(n) for n = 1..210</a>, rows 1..20 of triangle, flattened
%e A354705 The triangle begins:
%e A354705     \ h 1   2  3   4   5   6   7   8   9  10  11  12
%e A354705    w \ ---------------------------------------------
%e A354705    1 |  2;  |  |   |   |   |   |   |   |   |   |   |
%e A354705    2 |  3,  4; |   |   |   |   |   |   |   |   |   |
%e A354705    3 |  3,  4, 3;  |   |   |   |   |   |   |   |   |
%e A354705    4 |  4,  5, 5,  7;  |   |   |   |   |   |   |   |
%e A354705    5 |  4,  6, 4,  6,  4;  |   |   |   |   |   |   |
%e A354705    6 |  5,  7, 5,  8,  6,  8;  |   |   |   |   |   |
%e A354705    7 |  6,  7, 7, 10,  8, 11, 11;  |   |   |   |   |
%e A354705    8 |  6,  8, 6,  9,  6,  9, 12,  9;  |   |   |   |
%e A354705    9 |  7,  9, 7, 11,  8, 11, 12, 12, 11;  |   |   |
%e A354705   10 |  7, 10, 6, 10,  6,  9, 13,  9, 12,  8;  |   |
%e A354705   11 |  8, 11, 8, 12,  8, 12, 15, 12, 15, 12, 16;  |
%e A354705   12 |  9, 11, 9, 13, 10, 14, 16, 15, 16, 15, 19, 20
%Y A354705 Cf. A354707 (diagonal).
%Y A354705 Cf. A354702, A354703 (similar, but for minimizing the number of covered points), A354704.
%K A354705 nonn,tabl
%O A354705 1,1
%A A354705 _Hugo Pfoertner_, Jun 15 2022