The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A288069 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A288069

Quotients obtained when the Zuckerman numbers are divided by the product of their digits.
(history; published version)

#32 by Harvey P. Dale at Mon Aug 16 15:51:49 EDT 2021

STATUS

editing

approved

#31 by Harvey P. Dale at Mon Aug 16 15:51:45 EDT 2021

MATHEMATICA

Select[Table[n/Max[Times@@IntegerDigits[n], Pi/100], {n, 5000}], IntegerQ] (* Harvey P. Dale, Aug 16 2021 *)

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approved

editing

#30 by Joerg Arndt at Thu Apr 01 09:44:16 EDT 2021

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reviewed

approved

#29 by Michel Marcus at Thu Apr 01 09:12:54 EDT 2021

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proposed

reviewed

#28 by Bernard Schott at Thu Apr 01 08:53:34 EDT 2021

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editing

proposed

#27 by Bernard Schott at Thu Apr 01 08:53:10 EDT 2021

CROSSREFS

Cf. A007602, A067251, A056770, A342593, A342941.

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proposed

editing

Discussion

Thu Apr 01

08:53

Bernard Schott: … and 2 xrefs.

#26 by Bernard Schott at Thu Apr 01 08:51:40 EDT 2021

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editing

proposed

#25 by Bernard Schott at Thu Apr 01 08:50:58 EDT 2021

COMMENTS

Question: Is A067251 a subsequence? No, it appears in A056770 that not all integers other than multiples of 10 can be obtained as quotient, such as 15, 16, 24, 25, 26, 32, .... (see A342941).

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approved

editing

Discussion

Thu Apr 01

08:51

Bernard Schott: Just 'see A342941' in comment.

#24 by Charles R Greathouse IV at Mon Jun 05 23:53:32 EDT 2017

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editing

approved

#23 by Charles R Greathouse IV at Mon Jun 05 23:53:24 EDT 2017

COMMENTS

The limit of the sequence is infinite: for any x, there is some N such that, for all n > N, a(n) > x. Proof: a Zuckerman number with d digits is at least 10^(d-1) and has a digit product at most 9^d and so has a quotient at least 10^(d-1)/9^d which goes to infinity with d. - Charles R Greathouse IV, Jun 05 2017

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proposed

editing