The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003635 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A003635

Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).
(history; published version)

#32 by Alois P. Heinz at Tue May 09 19:03:55 EDT 2023

STATUS

proposed

approved

#31 by Chai Wah Wu at Tue May 09 15:08:41 EDT 2023

STATUS

editing

proposed

#30 by Chai Wah Wu at Tue May 09 15:07:49 EDT 2023

PROG

if (s:=sum(d))>0 and sorted(str(a:=sum(d)s*n)) == [str(e) for e in d] and a>0:

STATUS

proposed

editing

#29 by Chai Wah Wu at Tue May 09 14:56:49 EDT 2023

STATUS

editing

proposed

#28 by Chai Wah Wu at Tue May 09 14:56:43 EDT 2023

PROG

(Python)

from itertools import count, islice, combinations_with_replacement

def A003635_gen(startvalue=1): # generator of terms >= startvalue

for n in count(max(startvalue, 1)):

for l in count(1):

if 9*l*n < 10**(l-1):

yield n

break

for d in combinations_with_replacement(range(10), l):

if sorted(str(a:=sum(d)*n)) == [str(e) for e in d] and a>0:

break

else:

continue

break

A003635_list = list(islice(A003635_gen(), 20)) # Chai Wah Wu, May 09 2023

STATUS

approved

editing

#27 by Joerg Arndt at Fri Jun 18 11:39:41 EDT 2021

STATUS

reviewed

approved

#26 by Michel Marcus at Fri Jun 18 10:37:51 EDT 2021

STATUS

proposed

reviewed

Discussion

Fri Jun 18

10:38

Michel Marcus: it does not appear in the Archive Machine

11:34

Joerg Arndt: "Could they all be removed?" Yes. And as you agree, we should IMO do it.

11:39

Joerg Arndt: All taken care of.

#25 by David Radcliffe at Fri Jun 18 10:31:26 EDT 2021

STATUS

editing

proposed

Discussion

Fri Jun 18

10:37

David Radcliffe: The same link occurs in several other places. Could they all be removed? The document was of low quality in my opinion, and I don't wish to revise or restore it.

#24 by David Radcliffe at Fri Jun 18 10:29:28 EDT 2021

LINKS

David Radcliffe, <a href="http://gotmath.com/inconsummate.html">Inconsummate Numbers</a>

STATUS

approved

editing

Discussion

Fri Jun 18

10:31

David Radcliffe: Dead link removed; not worth restoring.

#23 by Michel Marcus at Sun Jan 17 12:41:49 EST 2016

STATUS

reviewed

approved