A182049 Numbers m such that m! is not pandigital in decimal representation.

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

Offset

1,3

Comments

A137580(a(n)) < 10.

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

a(33) > 100000 if it exists. - Chai Wah Wu, Jan 27 2019

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

Cf. A137580.

Sequence in context: A081330 A359415 A080682 * A038770 A342591 A193176

Adjacent sequences: A182046 A182047 A182048 * A182050 A182051 A182052

Keyword

nonn,base

Author

Reinhard Zumkeller, Apr 08 2012

Status

approved