login
This site is supported by donations to The OEIS Foundation.

 

Logo

The October issue of the Notices of the Amer. Math. Soc. has an article about the OEIS.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A141846 Triangle read by rows: A051731 * A051953^(n-k) * 0^(n-k), 1 <= k <= n. 1
0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 1, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

Row sums = A001065: (0, 1, 1, 3, 1, 6, 1, 7, 4, 8,...).

n-th row = (p-1) zeros followed by 1, iff n is prime.

For T(n,k), k divides n if k not = 0.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Triangle read by rows, A051731 * A051953^(n-k); where A051953^(n-k) = an infinite lower triangular matrix with A051953 (0, 1, 1, 2, 1, 4, 1, 4, 3, 6, 1, 8,...) in the main diagonal and the rest zeros. A051731 = inverse Mobius transform.

EXAMPLE

First few rows of the triangle =

0;

0, 1;

0, 0, 1;

0, 1, 0, 2;

0, 0, 0, 0, 1;

0, 1, 1, 0, 0, 4;

0, 0, 0, 0, 0, 0, 1;

0, 1, 0, 2, 0, 0, 0, 4;

0, 0, 1, 0, 0, 0, 0, 0, 3;

0, 1, 0, 0, 1, 0, 0, 0, 0, 6;

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;

0, 1, 1, 2, 0, 4, 0, 0, 0, 0, 0, 8;

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;

0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8;

...

CROSSREFS

Cf. A051953, A001065.

Sequence in context: A262900 A242830 A101668 * A188171 A035202 A227835

Adjacent sequences:  A141843 A141844 A141845 * A141847 A141848 A141849

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jul 11 2008

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 23 05:43 EDT 2018. Contains 315273 sequences. (Running on oeis4.)