

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



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
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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(n1)
....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: A038365 A247761 A031185 * A191841 A050741 A285710
Adjacent sequences: A129559 A129560 A129561 * A129563 A129564 A129565


KEYWORD

base,easy,nonn


AUTHOR

Eric Angelini, May 30 2007


STATUS

approved



