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.

A152904 Triangle read by rows: T(n,k) = A008683(n-k+1); 1<=k<=n; mu(n) "decrescendo".

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%I A152904 #15 Apr 02 2019 05:42:25
%S A152904 1,-1,1,-1,-1,1,0,-1,-1,1,-1,0,-1,-1,1,1,-1,0,-1,-1,1,-1,1,-1,0,-1,-1,
%T A152904 1,0,-1,1,-1,0,-1,-1,1,0,0,-1,1,-1,0,-1,-1,1,1,0,0,-1,1,-1,0,-1,-1,1,
%U A152904 -1,1,0,0,-1,1,-1,0,-1,-1,1
%N A152904 Triangle read by rows: T(n,k) = A008683(n-k+1); 1<=k<=n; mu(n) "decrescendo".
%H A152904 E. Deutsch, L. Ferrari and S. Rinaldi, <a href="https://doi.org/10.1016/j.aam.2004.05.002">Production Matrices</a>, Advances in Applied Mathematics, 34 (2005) pp. 101-122.
%F A152904 Triangle read by rows, T(n,k) = A008683(n-k+1) = A008683 in every column = A008683 "decrescendo"d by rows.
%e A152904 Triangle begins
%e A152904    1;
%e A152904   -1, 1;
%e A152904   -1, -1, 1;
%e A152904    0, -1, -1, 1;
%e A152904   -1, 0, -1, -1, 1;
%e A152904    1, -1, 0, -1, -1, 1;
%e A152904   -1, 1, -1, 0, -1, -1, 1;
%e A152904    0, -1, 1, -1, 0, -1, -1, 1;
%e A152904    0, 0, -1, 1, -1, 0, -1, -1, 1;
%e A152904    ...
%e A152904 Production matrix begins
%e A152904   -1, 1,
%e A152904   -2, 0, 1,
%e A152904   -3, 0, 0, 1,
%e A152904   -6, 0, 0, 0, 1,
%e A152904   -9, 0, 0, 0, 0, 1,
%e A152904   -17, 0, 0, 0, 0, 0, 1,
%e A152904   -28, 0, 0, 0, 0, 0, 0, 1,
%e A152904   -50, 0, 0, 0, 0, 0, 0, 0, 1,
%e A152904   -83, 0, 0, 0, 0, 0, 0, 0, 0, 1,
%e A152904   -147, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ...
%e A152904   where first column is -A073776(n+1). - _Paul Barry_, Feb 10 2011
%Y A152904 Cf. A008683, A002321, A073776, A152901, A152902.
%Y A152904 Row sums = A002321, the Mertens function. A185694 is an eigensequence.
%K A152904 tabl,sign
%O A152904 1,1
%A A152904 _Gary W. Adamson_, Dec 14 2008