A070189 a(n) = 12345679*n.

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.

References

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See entry 12345679 at p. 188.

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