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

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A156667 Triangle read by rows, A156663 * (A001045 * 0^(n-k)) 1
1, 0, 1, 2, 0, 1, 0, 2, 0, 3, 4, 0, 2, 0, 5, 0, 4, 0, 6, 0, 11, 8, 0, 4, 0, 10, 0, 21, 0, 8, 0, 12, 0, 22, 0, 43, 16, 0, 8, 0, 20, 0, 42, 0, 85, 0, 16, 0, 24, 0, 44, 0, 86, 0, 171, 32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums = A001045 starting with offset 1: (1, 1, 3, 5, 11, 21, 43,...).

As an eigentriangle, row sums = rightmost term of next row.

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Triangle read by rows, A156663 * (an infinite lower triangular matrix with A001045 as the main diagonal and the rest zeros).

EXAMPLE

First few rows of the triangle =

1;

0, 1;

2, 0, 1;

0, 2, 0, 3;

4, 0, 2, 0, 5;

0, 4, 0, 6, 0, 11;

8, 0, 4, 0, 10, 0, 21;

0, 8, 0, 12, 0, 22, 0, 43;

16, 0, 8, 0, 20, 0, 42, 0, 85;

0, 16, 0, 24, 0, 44, 0, 86, 0, 171;

32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341;

0, 32, 0, 48, 0, 88, 0, 172, 0, 342, 0, 683;

...

Row 4 = (4, 0, 2, 0, 5) = termwise products of (4, 0, 2, 0, 1) and (1, 1, 1, 3, 5)

CROSSREFS

A156663, A001045

Sequence in context: A293575 A054014 A158945 * A178090 A110914 A219200

Adjacent sequences:  A156664 A156665 A156666 * A156668 A156669 A156670

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Feb 12 2009

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 16 10:58 EST 2018. Contains 318160 sequences. (Running on oeis4.)