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A182863 Members m of A025487 such that, if k appears in m's prime signature, k-1 appears at least as often as k (for any integer k > 1). 6
1, 2, 6, 12, 30, 60, 210, 360, 420, 1260, 2310, 2520, 4620, 13860, 27720, 30030, 60060, 75600, 138600, 180180, 360360, 510510, 831600, 900900, 1021020, 1801800, 3063060, 6126120, 9699690, 10810800, 15315300, 19399380, 30630600, 37837800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Members m of A025487 such that A181819(m) is also a member of A025487.

If prime signatures are considered as partitions, these are the members of A025487 whose prime signature is conjugate to the prime signature of a member of A181818.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..1444

Eric Weisstein's World of Mathematics, Conjugate Partition

EXAMPLE

The prime signature of 360360 = 2^3*3^2*5*7*11*13 is (3,2,1,1,1,1). 2 appears as many times as 3 in 360360's prime signature, and 1 appears more times than 2. Since 360360 is also a member of A025487, it is a member of this sequence.

CROSSREFS

Intersection of A025487 and A179983; also subsequence of A129912 and A181826.

Includes all members of A182862.

Sequence in context: A331552 A129912 A283477 * A161507 A335711 A032177

Adjacent sequences:  A182860 A182861 A182862 * A182864 A182865 A182866

KEYWORD

nonn

AUTHOR

Matthew Vandermast, Jan 14 2011

STATUS

approved

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Last modified June 12 10:58 EDT 2021. Contains 344947 sequences. (Running on oeis4.)