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A302649 Numbers that are the sum of some fixed power of the digits of their ten's complement. 2
5, 8, 14, 3953, 33626, 89843301, 71341793655800, 245916794707565, 19429639306542698, 36106092555634673, 1818632037625982420, 4099389352522800257, 51096092690519702666, 1361788669288181208317, 80939622935362328928524, 3061856409269150191916609 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

No other term up to 3*10^12. - Giovanni Resta, Apr 12 2018

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..22

EXAMPLE

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

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

(100 - 14) = 86 and 8^1 + 6^1 = 14;

(10000 - 3953) = 6047 and 6^4 + 0^4 + 4^4 + 7^4 = 3953;

(100000 - 33626) = 66374 and 6^5 + 6^5 + 3^5 + 7^5 + 4^5 = 33626;

(100000000 - 89843301) = 10156699 and 1^8 + 0^8 + 1^8 + 5^8 + 6^8 + 6^8 + 9^8 + 9^8 = 89843301.

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, A302651.

Sequence in context: A133641 A164094 A246319 * A286835 A112269 A314527

Adjacent sequences:  A302646 A302647 A302648 * A302650 A302651 A302652

KEYWORD

nonn,base

AUTHOR

Paolo P. Lava, Apr 11 2018

EXTENSIONS

a(7)-a(16) from Chai Wah Wu, Jun 06 2018

STATUS

approved

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Last modified June 18 16:38 EDT 2021. Contains 345120 sequences. (Running on oeis4.)