

A207017


Numbers m for which there exists a number 1<k=k(m)<m, such that m is in the sequence: b_1 = k, b_(n+1) = b_n<+>k, where operation <+> is defined in A206853.


5



4, 7, 9, 11, 13, 14, 16, 18, 21, 22, 24, 26, 28, 31, 33, 35, 39, 41, 44, 46, 47, 49, 50, 53, 55, 56, 57, 59, 61, 62, 63, 66, 70, 73, 79, 82, 83, 84, 89, 93, 94, 96, 97, 102, 104, 110, 111, 112, 115, 116, 118, 120, 121, 122, 124, 125, 126, 127, 129, 131
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OFFSET

1,1


COMMENTS

It is natural to call terms of the sequence "Hamming composite numbers" and to say that m is "Hdivisible" by k.


LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000


EXAMPLE

127 = b_21 for k=2, b_16 for k=4 and b_8 for k=5. Thus 127 is Hdivisible by 2, 4 and 5 (and only by them).


CROSSREFS

Cf. A000225, A205509, A205510, A205511, A205302, A205649, A205533, A122565, A206853, A207016.
Sequence in context: A007656 A159619 A272454 * A174724 A267873 A310943
Adjacent sequences: A207014 A207015 A207016 * A207018 A207019 A207020


KEYWORD

nonn,base


AUTHOR

Vladimir Shevelev, Feb 14 2012


STATUS

approved



