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A048765
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Smallest factorial >= n.
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3
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1, 2, 6, 6, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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REFERENCES
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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.
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LINKS
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FORMULA
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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
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MATHEMATICA
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Join[{1}, Flatten[Table[Table[n!, n!-(n-1)!], {n, 5}]]] (* Harvey P. Dale, Jun 15 2016 *)
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PROG
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(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'
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Charles T. Le (charlestle(AT)yahoo.com)
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STATUS
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approved
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