login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A158455 a(n) = 2^(n-1)*(n-1)!*(4*n+1). 0
5, 18, 104, 816, 8064, 96000, 1336320, 21288960, 381911040, 7617576960, 167215104000, 4005730713600, 103985499340800, 2907670000435200, 87128076504268800, 2785241789890560000, 94612521108897792000, 3403308368004120576000, 129232476659005784064000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Exponential (EXP) transform of a(n) is A093620.

LINKS

Table of n, a(n) for n=1..19.

FORMULA

E.g.f.: Sum_{n>=1} a(n)*x^n/n! = 4*x/(1-2*x)-(1/2)*log(1-2*x).

MATHEMATICA

Table[2^(n-1)(n-1)!(4n+1), {n, 30}] (* Harvey P. Dale, Sep 22 2011 *)

PROG

(Magma) [2^(n-1)*Factorial(n-1)*(4*n+1): n in [1..25]]; // Vincenzo Librandi, Jul 06 2015

CROSSREFS

Sequence in context: A165962 A127756 A228614 * A009442 A332784 A302435

Adjacent sequences: A158452 A158453 A158454 * A158456 A158457 A158458

KEYWORD

nonn

AUTHOR

Karol A. Penson, Mar 19 2009

EXTENSIONS

More terms from Harvey P. Dale, Sep 22 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 02:32 EST 2022. Contains 358431 sequences. (Running on oeis4.)