OFFSET
1,4
LINKS
MATHEMATICA
With[{b = GoldenRatio}, Table[If[n == 1, Floor[b], Floor[n!*b] - n*Floor[(n - 1)!*b]], {n, 1, 100}]] (* G. C. Greubel, Mar 21 2018 *)
PROG
(PARI) default(realprecision, 250); b = (1+sqrt(5))/2; for(n=1, 80, print1(if(n==1, floor(b), floor(n!*b) - n*floor((n-1)!*b)), ", ")) \\ G. C. Greubel, Mar 21 2018
(PARI) A068451(N=90, c=precision(sqrt(5)+1, logint(N!, 10))/2)=vector(N, n, if(n>1, c=c%1*n, c)\1) \\ M. F. Hasler, Nov 27 2018
(Magma) SetDefaultRealField(RealField(250)); [Floor((1+Sqrt(5))/2)] cat [Floor(Factorial(n)*(1+Sqrt(5))/2) - n*Floor(Factorial((n-1))*(1+Sqrt(5))/2) : n in [2..80]]; // G. C. Greubel, Mar 21 2018
(Sage)
def A068451(n):
if (n==1): return floor(golden_ratio)
else: return expand(floor(factorial(n)*golden_ratio) - n*floor(factorial(n-1)*golden_ratio))
[A068451(n) for n in (1..80)] # G. C. Greubel, Nov 26 2018
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, Mar 10 2002
STATUS
approved