The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A343810 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A343810

Numbers that contain only the digits 0,4,8. Permutable multiples of 4: numbers k such that every permutation of the digits of k is a multiple of 4.
(history; published version)

#15 by N. J. A. Sloane at Fri May 07 01:06:55 EDT 2021

STATUS

editing

approved

#14 by N. J. A. Sloane at Fri May 07 01:06:53 EDT 2021

NAME

Numbers that contain only the digits 0,4,8. Permutable multiples of 4: numbers k such that every permutation of the digits of k is a multiple of 4.

COMMENTS

Also permutable multiples of 4: numbers k such that contain only every permutation of the digits 0,of k is a multiple of 4,8.

STATUS

proposed

editing

#13 by Rémy Sigrist at Wed May 05 05:25:45 EDT 2021

STATUS

editing

proposed

Discussion

Fri May 07

01:05

N. J. A. Sloane: Perhaps it would be easier to use the comment as the definition.  For people who don't want to have to solve a puzzle to see what is going on.  I will make the change.

#12 by Rémy Sigrist at Wed May 05 05:25:39 EDT 2021

PROG

(PARI) a(n) = fromdigits(digits(n, 3))*4 \\ Rémy Sigrist, May 05 2021

STATUS

proposed

editing

Discussion

Wed May 05

05:25

Rémy Sigrist: added program

#11 by Amiram Eldar at Fri Apr 30 12:45:55 EDT 2021

STATUS

editing

proposed

Discussion

Fri Apr 30

16:12

Ctibor O. Zizka: ? would it be worth to put in Comments : 
More general : numbers k such that (every permutation of the digits of k) is congruent  to r  (mod 4).  We have for r = 0 this sequence, for r  = 1  A143967(k>9), for r = 2 A284632(k),  for r = 3 not in OEIS ( numbers that contain only the digits 1,5,9.

#10 by Amiram Eldar at Fri Apr 30 12:45:53 EDT 2021

MATHEMATICA

FromDigits /@ Tuples[{0, 4, 8}, 4] (* Amiram Eldar, Apr 30 2021 *)

STATUS

proposed

editing

#9 by Robert Israel at Fri Apr 30 12:33:11 EDT 2021

STATUS

editing

proposed

#8 by Robert Israel at Fri Apr 30 12:33:05 EDT 2021

MAPLE

f:= proc(n) local L, i;

L:= convert(n, base, 3);

4*add(L[i]*10^(i-1), i=1..nops(L))

end proc:

map(f, [$0..100]); # Robert Israel, Apr 30 2021

#7 by Robert Israel at Fri Apr 30 12:29:17 EDT 2021

NAME

Permutable multiples of 4 : numbers k such that every permutation of the digits of 4*r k is a multiple of 4*s.

STATUS

proposed

editing

#6 by Ctibor O. Zizka at Fri Apr 30 12:11:05 EDT 2021

STATUS

editing

proposed