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.

A049627 Array T read by diagonals; T(i,j)=(i+1)*(j+1)-H(i,j), where H is the array in A049615; thus T(i,j) is the number of lattice points in rectangle having diagonal (0,0)-to-(i,j) that are visible from (i,j).

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%I A049627 #8 Aug 06 2021 04:49:12
%S A049627 1,2,2,2,4,2,2,5,5,2,2,6,6,6,2,2,7,8,8,7,2,2,8,9,10,9,8,2,2,9,11,12,
%T A049627 12,11,9,2,2,10,12,15,14,15,12,10,2,2,11,14,16,18,18,16,14,11,2,2,12,
%U A049627 15,19,19,22,19,19,15,12,2,2,13,17,21,23,24,24,23,21
%N A049627 Array T read by diagonals; T(i,j)=(i+1)*(j+1)-H(i,j), where H is the array in A049615; thus T(i,j) is the number of lattice points in rectangle having diagonal (0,0)-to-(i,j) that are visible from (i,j).
%e A049627 Diagonals (each starting on row 0):
%e A049627   {1};
%e A049627   {2,2};
%e A049627   {2,4,2};
%e A049627   ...
%e A049627 Array begins:
%e A049627   1  2  2  2  2  2  2
%e A049627   2  4  5  6  7  8  9
%e A049627   2  5  6  8  9 11 12
%e A049627   2  6  8 10 12 15 16
%e A049627   2  7  9 12 14 18 19
%e A049627   2  8 11 15 18 22 24
%e A049627   2  9 12 16 19 24 26
%o A049627 (PARI) T(n,k) = (n+1)*(k+1) - sum(i=0, n, sum(j=0, k, gcd(i,j)>1));
%o A049627 matrix(7,7,n,k, T(n-1,k-1)) \\ _Michel Marcus_, Aug 06 2021
%Y A049627 Cf. A049615.
%K A049627 nonn,tabl
%O A049627 0,2
%A A049627 _Clark Kimberling_