login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A050289 Zeroless pandigital numbers: numbers containing the digits 1-9 and no 0's. 40
123456789, 123456798, 123456879, 123456897, 123456978, 123456987, 123457689, 123457698, 123457869, 123457896, 123457968, 123457986, 123458679, 123458697, 123458769, 123458796, 123458967, 123458976, 123459678, 123459687, 123459768, 123459786, 123459867, 123459876, 123465789 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first 9! = 362880 terms of this sequence are permutations of the digits 1-9 with a(9!) = 987654321. - Jeremy Gardiner, May 28 2010

First differences are given in A209280 (for the first 9! terms) or in A219664 (for at least as much initial terms). - M. F. Hasler, Mar 03 2013

A230959(a(n)) = 0. - Reinhard Zumkeller, Nov 02 2013

After the first 9! terms, the same terms are repeated with a leading '1' prefixed, cf. formula. - M. F. Hasler, Jan 08 2020

LINKS

Table of n, a(n) for n=1..25.

H. Fripertinger, Operate on "9" to display zeroless pandigitals

James Grime and Brady Haran, Why 381,654,729 is awesome, Numberphile video (2013)

Eric Weisstein's World of Mathematics, Pandigital Number

FORMULA

a(n+9!) = a(n) + 10^9 for 1 <= n <= 9!. - M. F. Hasler, Jan 08 2020

PROG

(PARI) apply( {A050289(n)=if(n<=9!, fromdigits(Vec(numtoperm(9, n-1))), n<=2*9!, 10^9+A050289(n-9!), "not yet implemented")}, [1..25]) \\ M. F. Hasler, Jan 07 2020

CROSSREFS

Cf. A050290.

Sequence in context: A224780 A277057 A180408 * A204140 A288941 A175547

Adjacent sequences:  A050286 A050287 A050288 * A050290 A050291 A050292

KEYWORD

nonn,base

AUTHOR

Eric W. Weisstein

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 17 00:25 EST 2020. Contains 331976 sequences. (Running on oeis4.)