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A302651 Numbers that are the product of some fixed power of the digits of their ten's complement. 1
5, 8, 81, 2016, 2205 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

No other terms up to 10^40. - Giovanni Resta Apr 12 2018

No other terms up to 10^51 - Chai Wah Wu, Jun 06 2018

LINKS

Table of n, a(n) for n=1..5.

EXAMPLE

(10 - 5) = 5 and 5^1 = 5;

(10 - 8) = 2 and 2^3 = 8;

(100 - 81) = 19 and 1^2 * 9^2 = 81;

(10000 - 2016) = 7984 and 7^1 * 9^1 * 8^1 * 4^1 = 2016;

(10000 - 2205) = 7795 and 7^1 * 7^1 * 9^1 * 5^1 = 2205;

MAPLE

with(numtheory): P:=proc(q) local a, b, i, j, k, n;

for n from 1 to q do a:=convert(10^(ilog10(n)+1)-n, base, 10);

b:=convert(a, `*`); j:=1; i:=0; while n>b do

if i=b then break; else i:=b; j:=j+1; b:=add(a[k]^j, k=1..nops(a)); fi; od;

if n=b then print(n); fi; od; end: P(10^9);

CROSSREFS

Cf. A023052, A261433, A302649.

Sequence in context: A213239 A123819 A286076 * A260695 A153720 A101016

Adjacent sequences:  A302648 A302649 A302650 * A302652 A302653 A302654

KEYWORD

nonn,base,more

AUTHOR

Paolo P. Lava, Apr 11 2018

STATUS

approved

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Last modified June 18 17:51 EDT 2021. Contains 345120 sequences. (Running on oeis4.)