login
4th powers of A033175(n) near repdigit numbers.
0

%I #11 Nov 09 2018 22:04:55

%S 1,923521,12003612721,123111473904721,1234222258516824721,

%T 12345333336962946024721,123456444444807407238024721,

%U 1234567555555591851850158024721,12345678666666670296296279358024721

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

%C Display peculiar digit patterns.

%F From _Chai Wah Wu_, Nov 09 2018: (Start)

%F 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.

%F 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)

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

%Y Cf. A033175, A055557, A098207.

%K nonn,base

%O 0,2

%A _Labos Elemer_, Oct 20 2004