OFFSET
1,3
LINKS
EXAMPLE
log(7) = 1 + 1/2! + 2/3! + 2/4! + 3/5! + 3/6! + 0/7! + 3/8! + 0/9! + ...
MAPLE
Digits:=200: a:=n->`if`(n=1, floor(log(7)), floor(factorial(n)*log(7))-n*floor(factorial(n-1)*log(7))); seq[120](a(n), n=1..80); # Muniru A Asiru, Dec 06 2018
MATHEMATICA
With[{b = Log[7]}, Table[If[n == 1, Floor[b], Floor[n!*b] - n*Floor[(n - 1)!*b]], {n, 1, 100}]] (* G. C. Greubel, Dec 05 2018 *)
PROG
(PARI) vector(30, n, if(n>1, t=t%1*n, t=log(7))\1) \\ Increase realprecision (e.g., \p500) to compute more terms. - M. F. Hasler, Nov 25 2018
(PARI) default(realprecision, 250); b = log(7); for(n=1, 80, print1(if(n==1, floor(b), floor(n!*b) - n*floor((n-1)!*b)), ", ")) \\ G. C. Greubel, Dec 05 2018
(Magma) SetDefaultRealField(RealField(250)); [Floor(Log(7))] cat [Floor(Factorial(n)*Log(7)) - n*Floor(Factorial((n-1))*Log(7)) : n in [2..80]]; // G. C. Greubel, Dec 05 2018
(Sage)
def a(n):
if (n==1): return floor(log(7))
else: return expand(floor(factorial(n)*log(7)) - n*floor(factorial(n-1)*log(7)))
[a(n) for n in (1..80)] # G. C. Greubel, Dec 05 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Mar 10 2002
EXTENSIONS
Name edited and keywords cons,easy removed by M. F. Hasler, Nov 25 2018
STATUS
approved