Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A114061
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A114061 Numbers n such that n = (product of digits of n) * (sum of digits of n) in some base. +0
1
0, 1, 6, 12, 16, 20, 30, 42, 48, 54, 56, 72, 90, 96, 110, 128, 132, 135, 144, 156, 160, 162, 176, 182, 210, 231, 240, 250, 272, 300, 306, 324, 336, 342, 380, 384, 420, 432, 448, 455, 462, 480, 495, 504, 506, 540, 552, 576, 600, 624, 650, 663, 686, 702, 720, 750 (list; graph; listen)
OFFSET

1,3

COMMENT

This sequence is infinite since b^2+b is in the sequence for all b>1: in base b, b^2+b has digits {1,b} and (1*b)*(1+b)=b^2+b.

LINKS

Matthew M. Conroy, Home Page (Listed instead of email address.)

EXAMPLE

12 is in the sequence since in base 9, 12 has digits {1,3} and (1*3)*(1+3)=12.

CROSSREFS

Cf. A038369.

Sequence in context: A092455 A118422 A106504 this_sequence A063089 A050896 A108233

Adjacent sequences: A114058 A114059 A114060 this_sequence A114062 A114063 A114064

KEYWORD

base,nonn

AUTHOR

Matthew Conroy (list1(AT)madandmoonly.com), Feb 02 2006

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


AT&T Labs Research