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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A261523 a(n) = prime(n+1)! / (prime(n+1) - prime(n))!. 1
6, 60, 2520, 1663200, 3113510400, 14820309504000, 60822550204416000, 1077167364120207360000, 12280224991305141603532800000, 4111419327088961408862781440000000, 19116323737814368119883304974417920000000, 1393855275548491962840419252226697986048000000000, 30207631531686917818677566034256998753632256000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The author comments that this sequence is related to the product A058077(n) * A039716(n). - Charles R Greathouse IV, Aug 29 2015

LINKS

Table of n, a(n) for n=1..13.

FORMULA

a(n) = prime(n+1)! / (prime(n+1) - prime(n))! = A058077(n) * A039716(n).

MAPLE

A261523:=n->ithprime(n+1)!/(ithprime(n+1)-ithprime(n))!: seq(A261523(n), n=1..15); # Wesley Ivan Hurt, Aug 23 2015

MATHEMATICA

Table[Prime[i + 1]!/(Prime[i + 1] - Prime[i])!, {i, 15}] (* Vincenzo Librandi, Aug 23 2015 *)

PROG

(PARI) vector( 15,  n,  prime(n+1)! / (prime(n+1) - prime(n))! )

(PARI) vector( 15,  n,  binomial(prime(n+1), prime(n)) * prime(n)! )

(MAGMA) [Factorial(NthPrime(n+1)) / Factorial((NthPrime(n+1) - NthPrime(n))): n in [1..15]]; // Vincenzo Librandi, Aug 23 2015

CROSSREFS

Cf. A058077, A039716.

Sequence in context: A271682 A082681 A061431 * A318131 A202620 A075069

Adjacent sequences:  A261520 A261521 A261522 * A261524 A261525 A261526

KEYWORD

nonn,easy

AUTHOR

Altug Alkan, Aug 23 2015

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 November 13 12:45 EST 2019. Contains 329094 sequences. (Running on oeis4.)