A274834 7-white numbers: partition digits of n^7 into blocks of 7 starting at right; sum of these 7-digit numbers equals n.

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

Offset: 1

Author

Paolo P. Lava, Jul 08 2016

Keywords

• nonn
• base
• fini
• full

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.

Examples

			11111110^7 = 20907501177620218737880174500399224623868710000000 and
2 + 0907501 + 1776202 + 1873788 + 0174500 + 3992246 + 2386871 + 0000000 = 11111110.
		

Links

• Paolo P. Lava, Table of n, a(n) for n = 1..63

Crossrefs

Cf. A037042-A037045, A274833.

Programs

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);