Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A098505
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A098505 Numerators in inverse of a Catalan scaled binomial matrix. +0
6
1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 3, 2, 1, 1, 5, 5, 5, 5, 1, 1, 1, 5, 5, 5, 1, 1, 1, 7, 7, 35, 35, 7, 7, 1, 1, 4, 14, 28, 7, 28, 14, 4, 1, 1, 9, 18, 42, 63, 63, 42, 18, 9, 1, 1, 5, 45, 30, 105, 63, 105, 30, 45, 5, 1, 1, 11, 55, 165, 165, 33, 33, 165, 165, 55, 11, 1, 1, 3, 33, 55, 495, 198 (list; table; graph; listen)
OFFSET

0,8

COMMENT

Row sums are A098506. Diagonal sums are A098507. Second column is A093527. Third column is A098508. Numerators in the inverse of the signed version of A098474, defined by T(n,k)=(-1)^(n-k)binomial(2k,k)binomial(n,k)/(k+1)

FORMULA

Triangle T(n, k)=numerator((n+1)binomial(n, k)/binomial(2n, n))

EXAMPLE

Rows begin {1}, {1,1}, {1,3,3,1}, {1,2,3,2,1}, {1,5,5,5,5,1},...

CROSSREFS

Sequence in context: A114266 A135910 A107333 this_sequence A021306 A125300 A126717

Adjacent sequences: A098502 A098503 A098504 this_sequence A098506 A098507 A098508

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 11 2004

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 August 19 23:53 EDT 2008. Contains 142930 sequences.


AT&T Labs Research