login

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 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A260754
a(n) = prime(n+1)! / prime(n).
2
3, 40, 1008, 5702400, 566092800, 27360571392000, 7155594141696000, 1360632459941314560000, 384424434510421824110592000000, 283546160488893890266398720000000
OFFSET
1,1
FORMULA
a(n) = prime(n+1)! / prime(n) = A039716(n+1) / A000040(n).
10^(n-1)|a(n+3) for n>=0. - G. C. Greubel, Aug 20 2015
EXAMPLE
a(2) = 5! / 3 = 40.
MAPLE
A260754:=n->ithprime(n+1)!/ithprime(n): seq(A260754(n), n=1..20); # Wesley Ivan Hurt, Aug 20 2015
MATHEMATICA
Table[Prime[i+1] !/Prime[i], {i, 20}] (* G. C. Greubel, Aug 20 2015 *)
PROG
(PARI) vector(15, n, prime(n+1)!/prime(n)) \\ Michel Marcus, Aug 20 2015
(Magma) [Factorial(NthPrime(n+1))/NthPrime(n) : n in [1..10]]; // Wesley Ivan Hurt, Aug 20 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Altug Alkan, Aug 20 2015
STATUS
approved