A139310 - OEIS

A139310

Has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and every number appears exactly one of the sequence or its first differences.

%I #8 Aug 31 2013 19:33:48

%S 1,12,14,155,160,211,271,292,419,548,572,591,645,653,710,735,744,760,

%T 764,820,873,880,890,963,1537,1584,2191,2197,2245,2265,2352,2355,

%U 11163,11253,11349,11380,11917,11932,12016,12235,12356,12453,12475,12520,12746

%N Has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and every number appears exactly one of the sequence or its first differences.

%C 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 J. Schoenfield, <a href="/A139310/b139310.txt">Table of n, a(n) for n = 1..1000</a>

%Y Cf. A139311 (first differences), A005228, A030124.

%K nonn,base

%O 1,2

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

%E Edited by _Charles R Greathouse IV_, Apr 28 2010

%E Correction to a(12) and more terms from _Jon E. Schoenfield_, May 23 2010