login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A159906 Triangle read by rows, A126988 * A054533 0

%I #6 May 29 2023 11:26:46

%S 1,1,1,2,-1,2,2,0,0,2,4,-1,-1,-1,4,2,0,2,-1,1,2,6,-1,-1,-1,-1,-1,6,4,

%T 0,0,0,0,0,0,4,6,-3,3,0,0,-3,0,0,6,4,2,-1,-3,4,-1,1,-1,1,4,10,-1,-1,

%U -1,-1,-1,-1,-1,-1,-1,10,4,-4,4,2,2,0,0,-2,0,2,0,4

%N Triangle read by rows, A126988 * A054533

%C Row sums = n, right and left borders = A000012, phi(n).

%F Triangle read by rows, A126988 * A054533, where A054533 = the lower half of the Ramanujan sum table.

%e First few rows of the triangle =

%e 1;

%e 1,...1;

%e 2,..-1,...2;

%e 2,...0,...0,...2;

%e 4,..-1,..-1,..-1,...4;

%e 2,...0,...2,..-1,...1,...2;

%e 6,..-1,..-1,..-1,..-1,..-1,...6;

%e 4,...0,...0,...0,...0,...0,...0,...4;

%e 6,..-3,...3,...0,...0,..-3,...0,...0,...6;

%e 4,...2,..-1,..-3,...4,..-1,...1,..-1,...1,...4;

%e 10,.-1,..-1,..-1,..-1,..-1,..-1,..-1,..-1,..-1,...10;

%e 4,..-4,...4,...2,...2,...0,...0,..-2,...0,...2,....0,...4;

%e 12,.-1,..-1,..-1,..-1,..-1,..-1,..-1,..-1,..-1,...-1,..-1,...12;

%e 6,...4,..-1,..-3,..-1,..-3,...6,..-1,...1,..-1,....1,...1,....1,...6;

%e 8,..-7,...5,..-2,...8,..-2,...1,...1,..-2,..-4,....1,..-2,....1,...1,...8;

%e 8,...0,...0,...0,...0,...0,...0,...0,...0,...0,....0,...0,....0,...0,...0,...8;

%e ...

%Y Cf. A054533, A126988.

%K tabl,sign

%O 1,4

%A _Gary W. Adamson_, Apr 25 2009

%E a(29) split and more terms from _Georg Fischer_, May 29 2023

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)