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.

1, 12, 14, 155, 160, 211, 271, 292, 419, 548, 572, 591, 645, 653, 710, 735, 744, 760, 764, 820, 873, 880, 890, 963, 1537, 1584, 2191, 2197, 2245, 2265, 2352, 2355, 11163, 11253, 11349, 11380, 11917, 11932, 12016, 12235, 12356, 12453, 12475, 12520, 12746

Offset

1,2

Comments

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.

References

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

Links

J. Schoenfield, Table of n, a(n) for n = 1..1000

Crossrefs

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

Sequence in context: A287916 A002926 A318298 * A221819 A329026 A307535

Adjacent sequences: A139307 A139308 A139309 * A139311 A139312 A139313

Keyword

nonn,base

Author

N. J. A. Sloane (based on Angelini's article), Jun 08 2008

Extensions

Edited by Charles R Greathouse IV, Apr 28 2010

Correction to a(12) and more terms from Jon E. Schoenfield, May 23 2010

Status

approved