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”).

A127118
a(n) = n-th prime * n-th nonprime.
3
2, 12, 30, 56, 99, 130, 204, 266, 345, 464, 558, 740, 861, 946, 1128, 1325, 1534, 1647, 1876, 2130, 2336, 2607, 2822, 3115, 3492, 3838, 4017, 4280, 4578, 4972, 5715, 6026, 6576, 6811, 7450, 7701, 8164, 8802, 9185, 9688, 10203, 10498, 11460, 11966, 12411
OFFSET
1,1
LINKS
FORMULA
a(n) = A000040(n) * A018252(n).
MATHEMATICA
Module[{nn=100, prs, non, len}, prs=Prime[Range[nn]]; non=Complement[ Range[ nn], prs]; len=Min[Length[prs], Length[non]]; Times@@#&/@ Thread[ {Take[ prs, len], Take[non, len]}]] (* Harvey P. Dale, Dec 29 2012 *)
PROG
(Haskell)
a127118 n = a000040 n * a018252 n -- Reinhard Zumkeller, Apr 30 2014
(Python)
from sympy import prime, composite
def A127118(n):
return 2 if n == 1 else prime(n)*composite(n-1) # Chai Wah Wu, Dec 27 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Neven Juric (neven.juric(AT)apis-it.hr), Mar 21 2007
STATUS
approved