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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A096192 a(n) = Sum_{k=1..n} C(n,k)^4 where C(n,k) is binomial(n,k). 3
1, 17, 163, 1809, 21251, 263843, 3395015, 44916497, 607041379, 8345319267, 116335834055, 1640651321763, 23365271704711, 335556407724359, 4854133484555663, 70666388112940817, 1034529673001901731 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

FORMULA

a(n) ~ 2^(4*n + 1/2) / (Pi*n)^(3/2). - Vaclav Kotesovec, Nov 27 2017

MATHEMATICA

Table[Sum[Binomial[n, k-1]^4, {k, 0, n}], {n, 1, 25}] (* Vincenzo Librandi, May 03 2013 *)

CROSSREFS

Equals A005260(n) - 1.

Sequence in context: A125645 A068518 A155664 * A076458 A299551 A124299

Adjacent sequences:  A096189 A096190 A096191 * A096193 A096194 A096195

KEYWORD

nonn

AUTHOR

Gerald McGarvey, Jul 25 2004

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 21 11:54 EST 2018. Contains 317447 sequences. (Running on oeis4.)