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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A143777 Eigentriangle of triangle A022167 1
1, 1, 1, 1, 4, 2, 1, 13, 26, 7, 1, 40, 260, 280, 47, 1, 121, 2420, 8470, 5687, 628 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums of the triangle = A125813 shifted one place to the left = (1, 2, 7, 47, 628,...).

Row sums of row n terms = rightmost term of row (n+1).

Example: rightmost term of row 3 = 7 = (1 + 4 + 2).

Triangle A022167 =

1;

1, 1;

1, 4, 1;

1, 13, 13, 1;

1, 40, 130, 40, 1;

... The eigensequence of A022167 = A125815: (1, 1, 2, 7, 47, 628, 17327,...).

Triangle A143777 applies a termwise product of the first n terms of (1, 1, 2, 7, 47,...) and the (n-1)-th row terms of triangle A022167.

First few rows of the triangle are:

1;

1, 1;

1, 4, 2;

1, 13, 26, 7;

1, 40, 260, 280, 47;

1, 121, 2420, 8470, 5687, 628;

... Example: Row 3 = (1, 13, 26, 7) = termwise product of (1, 13, 13, 1) and (1, 1, 2, 7); where (1, 13, 13, 1) = row 3 of triangle A022167 and (1, 1, 2, 7) = the first 4 terms of A125813, the eigensequence of A022167.

LINKS

Table of n, a(n) for n=0..20.

FORMULA

Triangle read by rows, A022167 * (A125813 * 0^(n-k)); 0<=k<=n

CROSSREFS

A022167, Cf. A125813

Sequence in context: A109244 A171650 A225476 * A236830 A269736 A264535

Adjacent sequences:  A143774 A143775 A143776 * A143778 A143779 A143780

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Aug 31 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 December 6 00:38 EST 2016. Contains 278771 sequences.