Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A110441
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A110441 Triangular array formed by the Mersenne numbers. +0
2
1, 3, 1, 7, 6, 1, 15, 23, 9, 1, 31, 72, 48, 12, 1, 63, 201, 198, 82, 15, 1, 127, 522, 699, 420, 125, 18, 1, 255, 1291, 2223, 1795, 765, 177, 21, 1, 511, 3084, 6562, 6768, 3840, 1260, 238, 24, 1, 1023, 7181, 18324, 23276, 16758, 7266, 1932, 308, 27, 1 (list; table; graph; listen)
OFFSET

0,2

COMMENT

This sequence factors A038255 into a product of Riordan arrays.

REFERENCES

Naiomi T. Cameron and Asamoah Nkwanta, On Some (Pseudo) Involutions in the Riordan Group, Journal of Integer Sequences, Vol. 8 (2005), Article 05.3.7.

FORMULA

Riordan array M(n, k): (1/(1-3z+2z^2), z/(1-3z+2z^2)). Leftmost column M(n, 0) is the Mersenne numbers A000225, first column is A045618, second column is A055582, row sum is A007070 and diagonal sum is even indexed Fibonacci numbers A001906.

T(n,k)=sum{j=0..n, C(j+k,k)C(n-j,k)2^(n-j-k)} - Paul Barry (pbarry(AT)wit.ie), Feb 13 2006

EXAMPLE

Triangle starts:

1;

3,1;

7,6,1;

15,23,9,1;

31,72,48,12,1;

CROSSREFS

Sequence in context: A138257 A071043 A101624 this_sequence A111806 A054458 A110168

Adjacent sequences: A110438 A110439 A110440 this_sequence A110442 A110443 A110444

KEYWORD

easy,nonn,tabl

AUTHOR

Asamoah Nkwanta (nkwanta(AT)jewel.morgan.edu), Aug 08 2005

page 1

Search completed in 0.002 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 25 13:42 EST 2009. Contains 167481 sequences.


AT&T Labs Research