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A084558 a(n) = largest m such that n >= m!. +0
5
0, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 (list; graph; listen)
OFFSET

0,3

COMMENT

The number of significant digits in n's factorial expansion (A007623).

After zero, which occurs once, each n occurs A001563(n) times.

REFERENCES

F. Smarandache, "f-Inferior and f-Superior Functions - Generalization of Floor Functions", Arizona State University, Special Collections.

Yi Yuan and Zhang Wenpeng, On the Mean Value of the Analogue of Smarandache Function, Smarandache Notions J., Vol. 15 (to appear).

LINKS

Yi Yuan and Zhang Wenpeng, On the Mean Value of the Analogue of Smarandache Function.

EXAMPLE

a(4) = 2 because 2!<=4<3!.

CROSSREFS

A dual to A090529.

Cf. A084555-A084557.

Sequence in context: A165020 A069624 A092139 this_sequence A163291 A156875 A066339

Adjacent sequences: A084555 A084556 A084557 this_sequence A084559 A084560 A084561

KEYWORD

nonn

AUTHOR

Antti Karttunen (HisFirstname.HisSurname(AT)iki.fi) Jun 23 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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