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A159906 Triangle read by rows, A126988 * A054533 0
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, 40, 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, -1, -1, -1, -1, -1, -1, -1, 10 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

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

LINKS

Table of n, a(n) for n=1..66.

FORMULA

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

EXAMPLE

First few rows of the triangle =

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,...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,..-1,..-1,..-1,..-1,..-1,..-1,..-1,...10;

4,..-4,...4,...2,...2,...0,...0,..-2,...0,...2,....0,...4;

12,.-1,..-1,..-1,..-1,..-1,..-1,..-1,..-1,..-1,...-1,..-1,...12;

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

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

8,...0,...0,...0,...0,...0,...0,...0,...0,...0,....0,...0,....0,...0,...0,...8;

...

CROSSREFS

Cf. A126988, A054533

Sequence in context: A286129 A230322 A174950 * A263444 A276321 A152196

Adjacent sequences:  A159903 A159904 A159905 * A159907 A159908 A159909

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Apr 25 2009

STATUS

approved

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Last modified June 22 11:17 EDT 2021. Contains 345375 sequences. (Running on oeis4.)