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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A304338 Row sums of A304336. 2
1, 1, 4, 26, 239, 2902, 44441, 830636, 18495910, 481474188, 14432543299, 492063896964, 18885525411110, 808850019798316, 38368738864146619, 2002743853356179552, 114374154959904537521, 7110312727864509410026, 479017371580348640009295 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = Sum_{k=0..n} Sum_{j=0..k} (-1)^j*binomial(2*k,j)*(k-j)^(2*n) / (k!)^2.

MAPLE

A304338 := n -> add(add((-1)^j*binomial(2*k, j)*(k-j)^(2*n), j=0..k)/(k!)^2, k=0..n): seq(A304338(n), n=0..18);

PROG

(PARI) a(n) = sum(k=0, n, sum(j=0, k, (-1)^j*binomial(2*k, j)*(k-j)^(2*n)) / (k!)^2); \\ Michel Marcus, May 11 2018

CROSSREFS

Cf. A304330, A304334, A304336.

Sequence in context: A244524 A209923 A317339 * A115416 A302606 A052577

Adjacent sequences:  A304335 A304336 A304337 * A304339 A304340 A304341

KEYWORD

nonn

AUTHOR

Peter Luschny, May 11 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 March 24 11:49 EDT 2019. Contains 321448 sequences. (Running on oeis4.)