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A368325
Union of primorials and powers of 2.
1
1, 2, 4, 6, 8, 16, 30, 32, 64, 128, 210, 256, 512, 1024, 2048, 2310, 4096, 8192, 16384, 30030, 32768, 65536, 131072, 262144, 510510, 524288, 1048576, 2097152, 4194304, 8388608, 9699690, 16777216, 33554432, 67108864, 134217728, 223092870, 268435456, 536870912, 1073741824
OFFSET
1,2
COMMENTS
Numbers that (1) are either prime powers or squarefree and (2) have a primorial kernel.
LINKS
FORMULA
Union of A000079 and A002110.
Intersection of A055932 and A303554.
Intersection of A025487 and A303554.
{a(n)} = A055932 \ A126706 = A025487 \ A126706.
A055932 = union of this sequence and A363814.
A025487 = union of this sequence and A364710.
MATHEMATICA
Union@ Flatten@ {#, 2^Range[Log2[Last[#] ] ] } &@
FoldList[Times, 1, Prime@ Range[nn]]
KEYWORD
nonn,easy
AUTHOR
Michael De Vlieger, Jan 30 2024
STATUS
approved