OFFSET
1,2
REFERENCES
Krassimir T. Atanassov, On the 43rd and 44th Smarandache Problems, Notes on Number Theory and Discrete Mathematics, Sophia, Bulgaria, Vol. 5, No. 2, (1999), 86-88.
J. Castillo, Other Smarandache Type Functions: Inferior/Superior Smarandache f-part of x, Smarandache Notions Journal, Vol. 10, No. 1-2-3 (1999), 202-204.
LINKS
Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Krassimir T. Atanassov, On Some of Smarandache's Problems.
Florentin Smarandache, Only Problems, Not Solutions!.
FORMULA
n <= a(n) << n log n / log log n. - Charles R Greathouse IV, Sep 19 2012
Sum_{n>=1} 1/a(n)^2 = 1 + Sum_{n>=1} (n!-(n-1)!)/n!^2 = e + gamma - Ei(1) = A001113 - A229837 = 1.4003796770..., where gamma is Euler's constant (A001620) and Ei is the exponential integral. - Amiram Eldar, Aug 09 2022
MATHEMATICA
Join[{1}, Flatten[Table[Table[n!, n!-(n-1)!], {n, 5}]]] (* Harvey P. Dale, Jun 15 2016 *)
PROG
(Haskell)
a048764 n = a048764_list !! (n-1)
a048764_list = f [1..] $ tail a000142_list where
f (u:us) vs'@(v:vs) | u == v = v : f us vs
| otherwise = v : f us vs'
-- Reinhard Zumkeller, Jun 04 2012
(PARI) a(n)=my(t=1, k=1); while(t<n, t*=k++); t \\ Charles R Greathouse IV, Sep 19 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Charles T. Le (charlestle(AT)yahoo.com)
STATUS
approved