A113538 This list of numbers a(i) has the property that every left-subset of length n > 0 of the numbers a(i) is divisible by i+n and are the largest such integers for every i.

3608528850368400786036725, 45654723072420840000, 3654081096960006804, 45088208494568, 54648000, 6327096165, 7290842, 81072, 902468, 30849008, 55258568, 247808, 658563, 705672, 304380098, 6462, 342006, 7220, 38016725, 6094

Offset: 0

Author

Christ van Willegen (cvwillegen(AT)gmail.com), Jan 13 2006

Keywords

• nonn

Links

• P. J. Hendriks, Puzzle 114, Salami-numbers
• HP-museum mailing list, an algorithm for finding a(0): HP71B algorithm.

Programs

PARI

issalami(p, order) = ok=1;count=truncate(log(p)/log(10)+1);ordlen=truncate(log(order)/log(10));for(i=1,count-ordlen,test=(truncate(p/10^(count-i-ordlen)+0.)/(i+order-1));if(test!=truncate(test+0.),ok=0));return(ok) findsalami(x, order) = for(i=0,9,if(issalami(x*10+i,order)==1,if(maxsalami