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.

A134673 A051731 + A127448 - I where I is the Identity matrix (A023531).

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%I A134673 #24 Apr 03 2022 17:30:44
%S A134673 1,0,2,0,0,3,1,-1,0,4,0,0,0,0,5,2,-1,-2,0,0,6,0,0,0,0,0,0,7,1,1,0,-3,
%T A134673 0,0,0,8,1,0,-2,0,0,0,0,0,9,2,-1,0,0,-4,0,0,0,0,10,0,0,0,0,0,0,0,0,0,
%U A134673 0,11,1,3,1,-3,0,-5,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,13,2,-1
%N A134673 A051731 + A127448 - I where I is the Identity matrix (A023531).
%C A134673 Row sums = A073757: (1, 2, 3, 4, 5, 5, 7, 7, 8, 7, ...).
%F A134673 a(n) = A051731(n) + A127448(n) - A023531(n).
%F A134673 T(n,k) = k*A008683(n/k) + 1 if k divides n and k < n, T(n,k)=n for k=n, and T(n,k)=0 otherwise. - _Max Alekseyev_, Jan 07 2015
%e A134673 First few rows of the triangle:
%e A134673   1;
%e A134673   0,  2;
%e A134673   0,  0,  3;
%e A134673   1, -1,  0,  4;
%e A134673   0,  0,  0,  0,  5;
%e A134673   2, -1, -2,  0,  0,  6;
%e A134673   0,  0,  0,  0,  0,  0,  7;
%e A134673   1,  1,  0, -3,  0,  0,  0,  8;
%e A134673   ... [Typo corrected by _N. J. A. Sloane_, May 22 2010]
%o A134673 (PARI) A134673(n,k) = if(n%k,0,if(k==n,n,k*moebius(n/k)+1)); /* _Max Alekseyev_, Jan 07 2015 */
%Y A134673 Cf. A127448, A073757, A051731.
%K A134673 tabl,sign
%O A134673 1,3
%A A134673 _Gary W. Adamson_, Nov 05 2007
%E A134673 More terms from _Max Alekseyev_, Apr 03 2022