[seqfan] Re: Cumulative multiplication

Max Alekseyev maxale at gmail.com
Thu Apr 30 05:42:41 CEST 2015


Then the sequence becomes richer. E.g., here are first 50 terms:

1, 2, 3, 4, 5, 6, 7, 8, 9, 735, 1024, 4608, 18432, 419904, 442368,
29859840, 914457600, 3099363912, 3657830400, 74996953920, 19591041024000,
1003479242637312, 3134566563840000, 4095833643417600, 9071631546163200,
121813057142784000, 2509743397471027200, 3805787942446694400,
4550926270464000000, 22015062835200000000, 47572349280583680000,
220150628352000000000, 285315214344192000000, 505658474496000000000,
541267618481307648000, 761157588489338880000, 2485412533842739200000,
2662333328088524390400, 3682784876146817236992, 6475125318746112000000,
6743380510522736640000, 8670060656386375680000, 62146994784977540874240,
208962617019983305113600, 222642061783616333021184,
928061788788997943721984, 199983754569905897472000000,
2580375195353088000000000000, 13269962031237019807934054400,
32474738113304616046719664128

Max


On Wed, Apr 29, 2015 at 11:13 PM, David Wilson <davidwwilson at comcast.net>
wrote:

> What if you treat 0 as a 1 in the multiplication?
>
> > -----Original Message-----
> > From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of David
> > Wilson
> > Sent: Wednesday, April 29, 2015 11:07 PM
> > To: 'Sequence Fanatics Discussion list'
> > Subject: [seqfan] Re: Cumulative multiplication
> >
> > Yeah, well, I'd be surprised if you found any more...
> >
> > > -----Original Message-----
> > > From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of M. F.
> > > Hasler
> > > Sent: Wednesday, April 29, 2015 10:12 AM
> > > To: Sequence Fanatics Discussion list
> > > Subject: [seqfan] Re: Cumulative multiplication
> > >
> > > Congratulations! Great work, Giovanni!
> > > It is indeed nice when live surprises us -- provided it is a nice
> > > surprise as this one... :D !
> > > This came insofar more as a surprise, as I just had proposed this
> > > sequence as
> > > https://oeis.org/draft/A257275 maybe 15 minutes before you sent your
> > > message.
> > >
> > > Wishing a very nice day to all SeqFans, Maximilian
> > >
> > >
> > > On Wed, Apr 29, 2015 at 10:04 AM, Giovanni Resta <g.resta at iit.cnr.it>
> > wrote:
> > > > On 04/19/2015 05:15 AM, David Wilson wrote:
> > > >>
> > > >> I would be very surprised if we found any more good numbers.
> > > >
> > > >
> > > > Isn't it nice when life surprises us ?
> > > >
> > > > 3682784876146817236992 = p(3682784876146817236992) * p(3682784876).
> > > >
> > > >
> > > > (No other < 10^100. If we allow to multiply digits from both ends of
> > > > the number, like in
> > > > 4794391461888 = 8*8*8*(4*7*9*4*3*9*1*4*6*1*8*8*8)*4*7, then the
> > > non
> > > > trivial such numbers < 10^100 are 128, 175, 384, 735, 1296, 18432,
> > > > 34992, 442368, 4128768, 13395375, 13436928, 161243136, 1269789696,
> > > > 4161798144, 149824733184, 611784327168, 4794391461888,
> > > > 2877833474998272, 3682784876146817236992.)
> > > >
> > > > Giovanni
> > > >
> > > >
> > > >
> > > > _______________________________________________
> > > >
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