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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A062030 Group even numbers into (2,4), (6,8,10,12), (14,16,18,20,22,24), ...; a(n) = product of n-th group. 5
8, 5760, 42577920, 1300252262400, 111644006842368000, 21695920874860629196800, 8291067715225260172247040000, 5644260808699395278689265516544000, 6360332664265371581768550654463180800000, 11209384544297234954537967755979151481241600000, 29531169256166572959626706182319305835700813824000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n=1..100

FORMULA

a(n) = 4^n * Gamma(1 + n + n^2)/Gamma(1 - n + n^2). - G. C. Greubel, May 06 2022

EXAMPLE

a(3) = 14*16*18*20*22*24 = 42577920.

MATHEMATICA

Table[4^n*Gamma[1+n+n^2]/Gamma[1-n+n^2], {n, 30}] (* G. C. Greubel, May 05 2022 *)

PROG

(PARI) { for(n=1, 100, write("b062030.txt", n, " ", 2^(2*n)*(n^2+n)!/(n^2-n)!) ) } \\ Harry J. Smith, Jul 30 2009

(SageMath) [4^n*gamma(1+n+n^2)/gamma(1-n+n^2) for n in (1..30)] # G. C. Greubel, May 05 2022

CROSSREFS

Cf. A062029, A062031, A062032.

Sequence in context: A093937 A318897 A178329 * A052497 A304426 A316281

Adjacent sequences: A062027 A062028 A062029 * A062031 A062032 A062033

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 02 2001

EXTENSIONS

More terms from Jason Earls, Jun 10 2001

Typo in a(4) corrected by N. J. A. Sloane, Aug 31 2009 using the b-file.

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 February 2 06:48 EST 2023. Contains 360000 sequences. (Running on oeis4.)