Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A101164
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A101164 Triangle read by rows: Delannoy numbers minus binomial coefficients. +0
7
0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 3, 7, 3, 0, 0, 4, 15, 15, 4, 0, 0, 5, 26, 43, 26, 5, 0, 0, 6, 40, 94, 94, 40, 6, 0, 0, 7, 57, 175, 251, 175, 57, 7, 0, 0, 8, 77, 293, 555, 555, 293, 77, 8, 0, 0, 9, 100, 455, 1079, 1431, 1079, 455, 100, 9, 0, 0, 10, 126, 668, 1911, 3191, 3191, 1911 (list; table; graph; listen)
OFFSET

0,8

COMMENT

T(n,2) = A005449(n-2) for n>1;

T(n,3) = A101165(n-3) for n>2;

T(n,4) = A101166(n-4) for n>3;

sum of n-th row = A094706(n).

LINKS

Eric Weisstein's World of Mathematics, Delannoy Number

Eric Weisstein's World of Mathematics, Binomial Coefficient

Index entries for triangles and arrays related to Pascal's triangle

FORMULA

T(n, k) = TD(n, k) - Binomial(n, k), 0<=k<=n, where Binomial=A007318 and TD defines the triangle of A008288.

CROSSREFS

Adjacent sequences: A101161 A101162 A101163 this_sequence A101165 A101166 A101167

Sequence in context: A059692 A004247 A014473 this_sequence A062275 A138270 A134315

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 03 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 May 17 13:02 EDT 2008. Contains 139908 sequences.


AT&T Labs Research