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A309039
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Highly composite numbers (A002182) that are not highly Brazilian (A329383).
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2
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OFFSET
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1,1
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COMMENTS
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Is there a proof that this sequence is infinite?
Indeed, from 1680 to 2882880, that is, during 26 successive terms (maybe more?), highly composite numbers are the same as highly Brazilian numbers. - Bernard Schott, Jul 12 2019
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LINKS
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Table of n, a(n) for n=1..7.
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EXAMPLE
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2 is a highly composite number (A002182) but is not in A329383 (where 1 is followed immediately by 7), so 2 is a term of this sequence.
48 is highly composite with tau(48) = 10, and 48 = 66_7 = 44_11 = 33_15 = 22_33 so beta(48) = 4. We have also beta(40) = 4 with 40 = 1111_3 = 55_7 = 44_9 = 22_19 so 48 is not highly Brazilian. 48 is a term because it is highly composite but not highly Brazilian. - Bernard Schott, Jul 12 2019
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CROSSREFS
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Cf. A002182 (highly composites), A329383 (highly Brazilian numbers), A279930 (highly composites and highly Brazilian numbers), A309493 (highly Brazilian numbers not highly composites).
Sequence in context: A353899 A308618 A283021 * A087902 A282193 A180213
Adjacent sequences: A309036 A309037 A309038 * A309040 A309041 A309042
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KEYWORD
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nonn,hard,more
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AUTHOR
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J. Lowell, Jul 08 2019
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STATUS
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approved
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