|
|
A274834
|
|
7-white numbers: partition digits of n^7 into blocks of 7 starting at right; sum of these 7-digit numbers equals n.
|
|
7
|
|
|
0, 1, 11111110, 13477450, 20483494, 22705717, 24588560, 25411435, 26522546, 27150160, 27150161, 27777775, 28261271, 28744768, 28888885, 28888886, 29372382, 29372383, 29516500, 29855879, 31111109, 31738723, 32078101, 32222218, 32705716, 32849833, 33189212, 33333331
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
Seven pairs of consecutive numbers: 27150160 and 27150161; 28888885 and 28888886; 29372382 and 29372383; 35555551 and 35555552; 37777774 and 37777775; 40483492 and 40483493; 41111107 and 41111108.
Two sets of three consecutive numbers: 34444440, 34444441 and 34444442; 39999995, 39999996 and 39999997.
|
|
LINKS
|
|
|
EXAMPLE
|
11111110^7 = 20907501177620218737880174500399224623868710000000 and
2 + 0907501 + 1776202 + 1873788 + 0174500 + 3992246 + 2386871 + 0000000 = 11111110.
|
|
MAPLE
|
P:=proc(q, h) local a, b, n;
for n from 0 to q do a:=n^h; b:=0; while a>0 do b:=b+(a mod 10^h); a:=trunc(a/10^h); od;
if n=b then print(n); fi; od; end: P(10^6, 7);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base,fini,full
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|