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!)
A034273 a(n) = binomial(2*n+6,n+7)*(n^2+7*n+1)/(n+8) = f(n,n+6) where f is given in A034261. 1
0, 1, 19, 186, 1365, 8540, 48348, 255816, 1289739, 6273135, 29683225, 137447310, 625482585, 2806282440, 12443418600, 54633668400, 237871030860, 1028260382994, 4417404967206, 18874729444340, 80265980340370, 339907420551336, 1434074601137640 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Michael De Vlieger, Table of n, a(n) for n = 0..1655

MATHEMATICA

f[a_, b_] := Binomial[a + b, b + 1] (a b + a + 1)/(b + 2); Array[f[#, # + 6] &, 22] (* Michael De Vlieger, Nov 08 2017 *)

PROG

(PARI) A034273(n)=binomial(2*n+6, n+7)*(n^2+7*n+1)/(n+8) \\ M. F. Hasler, Nov 08 2017

CROSSREFS

Cf. A034261 (main entry), A034263 - A034275 (other columns and diagonals n -> f(n,n+k)).

Sequence in context: A008419 A211866 A327848 * A193575 A161512 A162347

Adjacent sequences:  A034270 A034271 A034272 * A034274 A034275 A034276

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected and extended by N. J. A. Sloane, Apr 21 2000

Edited by M. F. Hasler, Nov 08 2017

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 January 24 07:18 EST 2020. Contains 331189 sequences. (Running on oeis4.)