A139334 - OEIS

A139334

Starts with 2; has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and sequence and first differences have no term in common. When there is a choice in choosing the next term in the first differences, choose the smallest number not yet present in either the sequence or its first differences.

%I #15 Feb 11 2014 02:48:13

%S 2,24,28,311,312,325,337,340,365,398,405,3808,3814,3819,3858,3866,

%T 3906,3959,4039,4122,4203,4246,5065,5103,5161,5547,5610,5700,6339,

%U 6398,6801,6810,6851,7075,7095,7129,7375,7425,7490,8000,8035,8051,8066,8120,8195,8805

%N Starts with 2; has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and sequence and first differences have no term in common. When there is a choice in choosing the next term in the first differences, choose the smallest number not yet present in either the sequence or its first differences.

%D E. Angelini, "Jeux de suites", in Dossier Pour La Science, pp. 32-35, Volume 59 (Jeux math'), April/June 2008, Paris.

%H Lars Blomberg, <a href="/A139334/b139334.txt">Table of n, a(n) for n = 1..10000</a>

%e The first differences are 22, 4, 283, 1, 13, 12, 3, 25, 33, 7, 3403, ...

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_ (based on Angelini's article), Jun 08 2008

%E Extended through a(12) by Eric Angelini, Jul 18 2008