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A182049 Numbers m such that m! is not pandigital in decimal representation. 3
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28, 29, 30, 32, 38, 41 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A137580(a(n)) < 10;

conjecture: sequence is finite and a(32) = 41 is the last term.

LINKS

Table of n, a(n) for n=1..32.

Eric Weisstein's World of Mathematics, Pandigital Number

Wikipedia, Pandigital number

Index entries for sequences related to factorial numbers.

EXAMPLE

20! = 2432902008176640000 -> 0000000122234466789 with missing 5, therefore A137580(20) = 9, a(21)=20;

21! = 51090942171709440000 -> 00000001112444577999 with missing {3,6,8}, therefore A137580(21) = 7, a(22)=21;

22! = 1124000727777607680000 -> 0000000011224667777778 with missing {5,7,9}, therefore A137580(22) = 7, a(23)=22;

23! = 25852016738884976640000 -> 00000122344556667788889 pandigital, A137580(23) = 10, 23 is not a term;

24! = 620448401733239439360000 -> 000000122333334444667899 with missing 5, therefore A137580(24) = 9, a(24)=24;

25! = 15511210043330985984000000 -> 00000000011112333445558899 with missing {6,7}, therefore A137580(24) = 8, a(25)=25.

PROG

(Haskell)

a182049 n = a182049_list !! (n-1)

a182049_list = filter ((< 10) . a137580) [0..]

(PARI) for(n=0, 999, #Set(digits(n!))<10&&print1(n", "))

CROSSREFS

Sequence in context: A004830 A081330 A080682 * A038770 A193176 A263314

Adjacent sequences:  A182046 A182047 A182048 * A182050 A182051 A182052

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Apr 08 2012

STATUS

approved

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Last modified December 8 19:05 EST 2016. Contains 278948 sequences.