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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A117434 Expansion of c(x*y(1+x)), c(x) the g.f. of A000108. 4

%I

%S 1,0,1,0,1,2,0,0,4,5,0,0,2,15,14,0,0,0,15,56,42,0,0,0,5,84,210,132,0,

%T 0,0,0,56,420,792,429,0,0,0,0,14,420,1980,3003,1430,0,0,0,0,0,210,

%U 2640,9009,11440,4862,0,0,0,0,0,42,1980,15015,40040,43758,16796,0,0,0,0,0,0

%N Expansion of c(x*y(1+x)), c(x) the g.f. of A000108.

%C Row sums are A052709(n+1). Diagonal sums are A115178. Alternating sign version is A115179.

%F Number triangle T(n,k)=C(k)C(k,n-k).

%e Triangle begins

%e .1,

%e .0, 1,

%e .0, 1, 2,

%e .0, 0, 4, 5,

%e .0, 0, 2, 15, 14,

%e .0, 0, 0, 15, 56, 42,

%e .0, 0, 0, 5, 84, 210, 132,

%e .0, 0, 0, 0, 56, 420, 792, 429

%K easy,nonn,tabl

%O 0,6

%A _Paul Barry_, Mar 14 2006

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 10 20:48 EST 2017. Contains 295856 sequences.