Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A144963
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A144963 Eigentriangle, row sums = A000081 starting (1, 2, 4, 9, 20, 48, 115,...). +0
2
1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 4, 9, 8, 3, 4, 4, 9, 20, 16, 8, 6, 8, 9, 20, 48, 41, 16, 16, 12, 18, 20, 48, 115, 98, 41, 32, 32, 27, 40, 115, 286, 250, 98, 82, 64, 72, 60, 96, 115, 286, 719 (list; table; graph; listen)
OFFSET

1,6

COMMENT

Row sums = A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, 115,...)

Right border = (1, 1, 2, 4, 9, 20, 48,...).

Left border = A051573: (1, 1, 1, 2, 3, 8, 16, 41,...)

Sum of n-th row terms = rightmost term of next row.

FORMULA

Eigentriangle by rows, termwise products of A000081 starting with offset 2: (1, 2, 4, 9, 20, 48,...) and row terms of an A051573 decrescendo triangle: (1; 1,1; 1,1,1; 2,1,1,1; 3,2,1,1,1;...) where A051573 = (1, 1, 1, 2, 3, 8, 16, 41,...).

EXAMPLE

First few rows of the triangle =

1;

1, 1;

1, 1, 2;

2, 1, 2, 4;

3, 2, 2, 4, 9;

8, 3, 4, 4, 9, 20;

16, 8, 6, 8, 9, 20, 48;

41, 16, 16, 12, 18, 20, 48, 115;

98, 41, 32, 3227, 40, 48, 115, 286;

...

Row 4 = (2, 1, 2, 4) = termwise products of (2, 1, 1, 1) and (1, 1, 2, 4).

CROSSREFS

Sequence in context: A029262 A129687 A128176 this_sequence A035374 A048299 A144218

Adjacent sequences: A144960 A144961 A144962 this_sequence A144964 A144965 A144966

KEYWORD

eigen,nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 27 2008

page 1

Search completed in 0.003 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


AT&T Labs Research