OFFSET
0,5
FORMULA
a(n) ~ sqrt(2*Pi)*n^(n-5/18)*exp(-n)/Gamma(2/9) as n -> infinity. - Robert Israel, Jun 07 2015
EXAMPLE
Gamma(6 + 2/9) = 176.09917208972649...
Gamma(2/9) = 4.1065795667...
176.09917208972649.../4.1065795667... = 42.8822... hence a(6) = 43.
MAPLE
Digits := 64:f := proc(n, x) ceil(GAMMA(n+x)/GAMMA(x)); end;
MATHEMATICA
Table[Ceiling[Gamma[n + 2/9]/Gamma[2/9]], {n, 0, 19}] (* Alonso del Arte, Jun 07 2015 *)
PROG
(Magma) [Ceiling(Gamma(n + 2/9)/Gamma(2/9)): n in [0..30]]; // Vincenzo Librandi, Jun 08 2015
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved