login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A174952 Triangle t(n,m)= binomial(n+m-1,n-1) + binomial(2*n-m-1,n-1) -binomial(2*n-1,n-1) read by rows, 0<=m<=n. 1
1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -11, -15, -11, 1, 1, -51, -76, -76, -51, 1, 1, -204, -315, -350, -315, -204, 1, 1, -785, -1226, -1422, -1422, -1226, -785, 1, 1, -2995, -4683, -5523, -5775, -5523, -4683, -2995, 1, 1, -11431, -17830, -21142, -22528, -22528 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

Row sums are 1, 2, 3, 0, -35, -252, -1386, -6864, -32175, -145860, -646646,....

LINKS

Table of n, a(n) for n=0..50.

FORMULA

t(n,m) = t(n,n-m).

EXAMPLE

1;

1, 1;

1, 1, 1;

1, -1, -1, 1;

1, -11, -15, -11, 1;

1, -51, -76, -76, -51, 1;

1 -204, -315, -350, -315, -204, 1;

1, -785, -1226, -1422, -1422, -1226, -785, 1;

1, -2995, -4683, -5523, -5775, -5523, -4683, -2995, 1;

1, -11431, -17830, -21142, -22528, -22528, -21142, -17830, -11431, 1;

1, -43748, -68013, -80718, -86658, -88374, -86658, -80718, -68013, -43748, 1;

MAPLE

A174952 := proc(n, m)

        binomial(n+m-1, n-1)+binomial(2*n-m-1, n-1) -binomial(2*n-1, n-1);

end proc: # R. J. Mathar, Jan 15 2013

CROSSREFS

Cf. A158498, A059481

Sequence in context: A061087 A063964 A262721 * A209898 A139065 A186404

Adjacent sequences:  A174949 A174950 A174951 * A174953 A174954 A174955

KEYWORD

sign,tabl,easy

AUTHOR

Roger L. Bagula, Apr 02 2010

EXTENSIONS

Definition corrected and deobfuscated. R. J. Mathar, Jan 15 2013

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 17 00:35 EDT 2021. Contains 348048 sequences. (Running on oeis4.)