A098208 4th powers of A033175(n) near repdigit numbers.

1, 923521, 12003612721, 123111473904721, 1234222258516824721, 12345333336962946024721, 123456444444807407238024721, 1234567555555591851850158024721, 12345678666666670296296279358024721

Offset: 0

Author

Labos Elemer, Oct 20 2004

Keywords

• nonn
• base

Comments

Display peculiar digit patterns.

Crossrefs

Cf. A033175, A055557, A098207.

Programs

Mathematica

(FromDigits/@Table[Join[PadLeft[{},n,3],{1}],{n,0,20}])^4 (* Harvey P. Dale, Oct 20 2011 *)

Formula

From Chai Wah Wu, Nov 09 2018: (Start)

a(n) = 11111*a(n-1) - 11222110*a(n-2) + 1122211000*a(n-3) - 11111000000*a(n-4) + 10000000000*a(n-5) for n > 4.

G.f.: (-160000000000*x^4 - 102065000000*x^3 - 1753593000*x^2 - 912410*x - 1)/((x - 1)*(10*x - 1)*(100*x - 1)*(1000*x - 1)*(10000*x - 1)). (End)