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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A099575 Number triangle T(n,k)=binomial(n+floor(k/2)+1,n+1), 0<=k<=n. 5
1, 1, 1, 1, 1, 4, 1, 1, 5, 5, 1, 1, 6, 6, 21, 1, 1, 7, 7, 28, 28, 1, 1, 8, 8, 36, 36, 120, 1, 1, 9, 9, 45, 45, 165, 165, 1, 1, 10, 10, 55, 55, 220, 220, 715, 1, 1, 11, 11, 66, 66, 286, 286, 1001, 1001, 1, 1, 12, 12, 78, 78, 364, 364, 1365, 1365, 4368, 1, 1, 13, 13, 91, 91, 455, 455 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Row sums are A099576. Diagonal sums are A099577. Main diagonal is A099578.

Original name was: "Number triangle T(n,k)=if(k<=n,sum{j=0..floor(k/2),binomial(n+j,j)},0)."

LINKS

Robert Israel, Table of n, a(n) for n = 0..10010 (Rows 0..140, flattened)

EXAMPLE

Rows start:

  {1},

  {1,1},

  {1,1,4},

  {1,1,5,5},

  {1,1,6,6,21},

  ...

MAPLE

for n from 0 to 20 do seq(binomial(n+floor(k/2)+1, n+1), k=0..n) od; # Robert Israel, May 08 2018

CROSSREFS

Cf. A099573, A099576, A099577, A099578.

Sequence in context: A016522 A153843 A318795 * A173740 A028275 A173118

Adjacent sequences:  A099572 A099573 A099574 * A099576 A099577 A099578

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Oct 23 2004

EXTENSIONS

Definition simplified by Robert Israel, May 08 2018

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)