A080933 Smallest non-occurring pairwise difference between the elements of a Mian-Chowla sequence (A005282) variant starting with (1,n).

33, 49, 26, 15, 30, 19, 44, 13, 38, 50, 54, 58, 44, 46, 25, 20, 45, 10, 13, 84, 38, 15, 71, 33, 35, 89, 31, 16, 58, 10, 52, 26, 15, 14, 33, 14, 15, 32, 34, 34, 25, 28, 25, 16, 39, 26, 16, 25, 36, 40, 16, 31, 33, 28, 15, 55, 15, 22, 31, 33, 15, 21, 49, 51, 28

Offset

2,1

Comments

For large n the sequence consists of increasingly long runs of "33", which is the first term of A080200 (the smallest non-occurring difference in A005282), with some interspersed other terms. E.g. for n=100000..100100 we have a(n)=88 for n=100005,100021,100041,100087,100099, a(100072)=98 and otherwise a(n)=33.

References

See under A005282.

Links

Table of n, a(n) for n=2..66.

Hugo Pfoertner, FORTRAN program to create the Mian-Chowla sequence

Hugo Pfoertner, Illustration of the first 1000 terms..

Example

a(2)=33 because the smallest non-occurring pairwise difference between the terms of A005282 (starting with 1,2) is A080200(1)=33. a(3)=49 because the smallest non-occurring pairwise difference between the terms of A051788 (starting with 1,3) is A080201(1)=49. a(4)=26 because the smallest non-occurring pairwise difference between the terms of A058335 (starting with 1,4) is A080932(1)=26.

Prog

(Fortran) ! Program available at link. Setting of initial terms has to be modified as indicated in the comment.

Crossrefs

Cf. A005282, A051788, A058335, A080200, A080201, A080932.

Sequence in context: A258697 A204373 A111502 * A328247 A020293 A226698

Adjacent sequences: A080930 A080931 A080932 * A080934 A080935 A080936

Keyword

nonn

Author

Hugo Pfoertner, Feb 24 2003

Extensions

a(27) onward corrected by Sean A. Irvine, Oct 04 2025

Status

approved