A129562 Slowest increasing sequence that starts with 1 and has property that adding two consecutive terms gives a number which does not share a digit with either of the two terms.

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 35, 36, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 51, 149, 151, 152, 154, 155, 165, 167, 168, 169, 171, 172, 176, 177, 178, 181, 182, 184, 185, 188, 189, 211, 219, 221, 222, 223, 225, 235, 236, 238

Offset

1,2

Comments

Terms shown above computed by Lapinot.

Links

Andrew Woods, Table of n, a(n) for n = 1..10000

Prog

(Sage)
@cached_function
def A129562(n):
    if n == 1: return 1
    nocommon = lambda x, y: not set(x.digits()).intersection(y.digits())
    last = A129562(n-1)
    return next(k for k in IntegerRange(last+1, infinity) if nocommon(k, last+k) and nocommon(last, last+k))
# D. S. McNeil, Aug 31 2011

Crossrefs

Sequence in context: A247761 A031185 A342441 * A191841 A331125 A318736

Adjacent sequences: A129559 A129560 A129561 * A129563 A129564 A129565

Keyword

base,easy,nonn

Author

Eric Angelini, May 30 2007

Status

approved