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.

A134867 A010766 * A000012.

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%I A134867 #27 Oct 30 2023 11:56:41
%S A134867 1,3,1,5,2,1,8,4,2,1,10,5,3,2,1,14,8,5,3,2,1,16,9,6,4,3,2,1,20,12,8,6,
%T A134867 4,3,2,1,23,14,10,7,5,4,3,2,1,27,17,12,9,7,5,4,3,2,1,29,18,13,10,8,6,
%U A134867 5,4,3,2,1,35,23,17,13,10,8,6,5,4,3,2,1,37,24,18,14,11,9,7,6,5,4,3,2,1
%N A134867 A010766 * A000012.
%F A134867 A010766 * A000012 as infinite lower triangular matrices.
%F A134867 Triangle read by rows, partial row sums of A010766 starting fromt the right.
%F A134867 G.f. of column k: 1/(1-x) * Sum_{j>=1} x^(k*j)/(1-x^j) = 1/(1-x) * Sum_{j>=k} x^j/(1-x^j). - _Seiichi Manyama_, Oct 30 2023
%e A134867 First few rows of the triangle:
%e A134867    1;
%e A134867    3,  1;
%e A134867    5,  2,  1;
%e A134867    8,  4,  2, 1;
%e A134867   10,  5,  3, 2, 1;
%e A134867   14,  8,  5, 3, 2, 1;
%e A134867   16,  9,  6, 4, 3, 2, 1;
%e A134867   20, 12,  8, 6, 4, 3, 2, 1;
%e A134867   23, 14, 10, 7, 5, 4, 3, 2, 1;
%e A134867   27, 17, 12, 9, 7, 5, 4, 3, 2, 1;
%e A134867   ...
%t A134867 t = Table[Sum[Floor[n/h], {h, k, n}], {n, 0, 10}, {k, 1, n}];
%t A134867 u = Flatten[t]  (* A134867 array *)
%t A134867 TableForm[t]    (* A134867 sequence *)
%t A134867 (* _Clark Kimberling_, Oct 11 2014 *)
%o A134867 (PARI) T(n, k) = sum(j=k, n, n\j); \\ _Seiichi Manyama_, Oct 30 2023
%Y A134867 Column k=1..4 give: A006218, A002541, A366968, A366972.
%Y A134867 Row sums give A024916.
%Y A134867 Cf. A010766, A135539.
%K A134867 nonn,tabl
%O A134867 1,2
%A A134867 _Gary W. Adamson_, Nov 14 2007
%E A134867 More terms from _Seiichi Manyama_, Oct 30 2023