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A225902 Numbers whose arithmetic derivatives are a permutation of their digits. 2
4, 27, 94, 308, 526, 594, 950, 1208, 1269, 1647, 2403, 3125, 5589, 5643, 5926, 6934, 9369, 10503, 10568, 11084, 11284, 12404, 12447, 13130, 13500, 14024, 14769, 17469, 17847, 18036, 20358, 20547, 20852, 25569, 27891, 28647, 29835, 34803, 36068, 36180, 36747 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A051674 is a subsequence of this sequence.

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..5000

EXAMPLE

18036' = 36180, so 18036 is a term.

20852' = 22508, so 20852 is a term.

48872' = 74828, so 48872 is a term.

MAPLE

with(numtheory); A225902:= proc(i) local a, b, c, d, j, n, ok, p, pfs;

for n from 1 to i do b:=[]; c:=[];

a:=n*add(op(2, p)/op(1, p), p=ifactors(n)[2]);

while a>0 do b:=[op(b), a mod 10]; a:=trunc(a/10); od; a:=n;

while a>0 do c:=[op(c), a mod 10]; a:=trunc(a/10); od; d:=0;

if nops(b)=nops(c) then b:=sort(b); c:=sort(c); b:=b-c; ok:=1; for j from 1 to nops(b) do if b[j]<>0  then ok:=0; break; fi; od; if ok=1 then print(n); fi; fi;

od; end; A225902(10000);

CROSSREFS

Cf. A003415, A051674.

Sequence in context: A070600 A100488 A220019 * A071174 A092364 A296316

Adjacent sequences:  A225899 A225900 A225901 * A225903 A225904 A225905

KEYWORD

nonn,base

AUTHOR

Paolo P. Lava, May 20 2013

STATUS

approved

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Last modified January 25 23:56 EST 2022. Contains 350572 sequences. (Running on oeis4.)