A070189 12345679n.

0, 12345679, 24691358, 37037037, 49382716, 61728395, 74074074, 86419753, 98765432, 111111111, 123456790, 135802469, 148148148, 160493827, 172839506, 185185185, 197530864, 209876543, 222222222, 234567901, 246913580, 259259259

Offset

0,2

Comments

a(82)=1012345678 is the first term which has a digit appearing more than once without an obvious pattern, although a(-82)=-1012345678 might be seen as the concatenation of ten consecutive numbers.

Links

Table of n, a(n) for n=0..21.

Tanya Khovanova, Recursive Sequences

"TyYann", MegaFavNumbers: Lewis Carroll's Number, video (2020)

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

a(n)=n*(10^(10-1)-1)/(10-1)^2

Mathematica

Table[12345679*n, {n, 0, 30}] (* or *) LinearRecurrence[{2, -1}, {0, 12345679}, 30] (* Harvey P. Dale, Oct 16 2015 *)

Prog

(PARI) a(n)=12345679*n \\ Charles R Greathouse IV, Jan 09 2012

Crossrefs

Cf. A027889, A057932, A060073.

Sequence in context: A164338 A178478 A077302 * A178069 A167233 A187399

Adjacent sequences: A070186 A070187 A070188 * A070190 A070191 A070192

Keyword

base,easy,nonn

Author

Henry Bottomley, Apr 24 2002

Status

approved