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A068183 Largest number without decimal digits equal to 1, whose product of digits gives n!. 10
2, 32, 3222, 53222, 5332222, 75332222, 75332222222, 7533332222222, 755333322222222 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Table of n, a(n) for n=2..10.

FORMULA

a(n)=Max{x; f[x]=n!}, where x has no digit=1 and f[x_] := Apply[Times, IntegerDigits[x]].

EXAMPLE

Maximal solutions are obtained from concatenation of distinct all prime-factors which has one decimal digit. The sequence is finite because n! for n>10 has 2-digit prime-factors.

CROSSREFS

Cf. A000142, A001222, A002473, A067734, A068183-A068187, A068189-A068191.

Sequence in context: A088386 A093584 A117259 * A166077 A053853 A018241

Adjacent sequences:  A068180 A068181 A068182 * A068184 A068185 A068186

KEYWORD

base,fini,nonn,full

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Feb 18 2002

STATUS

approved

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Last modified June 20 00:15 EDT 2013. Contains 226416 sequences.