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.

A152685 Triangle read by rows, A100861(n,k) * A118930(k).

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%I A152685 #7 Aug 19 2014 15:41:27
%S A152685 1,1,1,1,1,3,1,6,6,1,10,30,1,15,90,60,1,21,210,420,1,18,420,1680,1365,
%T A152685 1,36,756,5040,12285,1,45,1260,12600,61425,38745,1,55,1980,27720,
%U A152685 225225,426195,1,66,2970,55440,675675,2557170,1725570,1,78,4290
%N A152685 Triangle read by rows, A100861(n,k) * A118930(k).
%F A152685 Triangle read by rows, A100861 * (A118930 * n^(n-k)) = M*Q. M = A100861 as an infinite lower triangular matrix and Q = a matrix with A118930 as the main diagonal and the rest zeros.
%e A152685 First few rows of the triangle =
%e A152685 1;
%e A152685 1;
%e A152685 1, 1;
%e A152685 1, 3;
%e A152685 1, 6, 6;
%e A152685 1, 10, 30;
%e A152685 1, 15, 90, 60;
%e A152685 1, 21, 210, 420;
%e A152685 1, 28, 420, 1680, 1365;
%e A152685 1, 36, 756, 5040, 12285;
%e A152685 1, 45, 1260, 12600, 61425, 38745;
%e A152685 1, 55, 1980, 27720, 225225, 426195;
%e A152685 ...
%p A152685 A152685 := proc(n,k)
%p A152685     A100861(n,k)*A118930(k) ;
%p A152685 end proc:
%p A152685 seq(seq(A152685(n,k),k=0..n/2),n=0..13) ; # _R. J. Mathar_, Aug 19 2014
%Y A152685 Cf. A100861, A118930 (row sums)
%K A152685 nonn,tabf
%O A152685 0,6
%A A152685 _Gary W. Adamson_, Dec 10 2008