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A185001 Numbers n with the property that their basins (as defined in A204539) are 2. 1
5, 8, 10, 16, 22, 26, 106, 110, 182, 234, 282, 288, 318, 434, 766, 1056, 1072, 1462, 1550, 1930, 3024, 4330, 5424, 9398, 10634, 53094, 90602, 151632, 384002, 511638, 530102, 1364850, 1887006, 2193072, 3138096, 6470672, 6959070 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence follows on from A204540, which listed seven values of n for which basin(n) = 1. There are 37 known values of n for which basin(n) = 2. A search of numbers up to 10,000,000 has not uncovered any further integers satisfying this requirement. The possibility that there are even larger numbers with basins equal to 2 cannot be completely ruled out, but the chances of one being discovered are remote, in view of the fact that the average basin size for large values of n is approximately n/3, that is, over 2000000 in the region where the last known such integer was discovered.

For unknown reasons, all integers > 5 with basins equal to 1 or 2 are even.

LINKS

Table of n, a(n) for n=1..37.

CROSSREFS

Cf. A204539, A204540.

Sequence in context: A164682 A157482 A314385 * A057154 A072524 A240968

Adjacent sequences:  A184998 A184999 A185000 * A185002 A185003 A185004

KEYWORD

nonn

AUTHOR

Colm Fagan, Jan 23 2012

STATUS

approved

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Last modified November 30 08:19 EST 2021. Contains 349419 sequences. (Running on oeis4.)