Factor-perfect numbers: Difference between revisions

Added Sidef
m (→‎{{header|Wren}}: Changed to Wren S/H)
(Added Sidef)
 
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OEIS A163272:
0 1 48 1280 2496 28672 29808</pre>
 
=={{header|Sidef}}==
{{trans|Perl}}
<syntaxhighlight lang="ruby">func erdosFactorCount (n) is cached {
 
var sum = 1
var divs = proper_divisors(n).slice(1)
 
divs.each {|d|
sum += __FUNC__(idiv(n,d))
}
 
return sum
}
 
func moreMultiples (to, from) {
var oneMores = []
from.each {|j|
if (j > to.tail && to.tail.divides(j)) {
oneMores << [to..., j]
}
}
for k in (oneMores.range) {
oneMores << __FUNC__(oneMores[k], from)...
}
return oneMores
}
 
var listing = [[1]]
listing << moreMultiples([1], proper_divisors(48))...
listing.each {|a| a << 48 }
 
say "#{listing.len} sequences using first definition:"
listing.slices(3).each { .map { .join(' ') }.map{ '%-20s' % _ }.join.say }
 
var listing2 = gather {
for j in (^listing.len) {
var seq = listing[j]
take(1..seq.end -> map {|j| seq[j] / seq[j-1] })
}
}
 
say "\n#{listing2.len} sequences using second definition:"
listing2.slices(3).each { .map { .join(' ') }.map{ '%-20s' % _ }.join.say }
 
print "\nOEIS A163272: "
say [0, 1, (1..Inf -> lazy.map {|n| 4*n }.grep{|n| erdosFactorCount(n) == n }.first(5))...]</syntaxhighlight>
 
{{out}}
<pre>
48 sequences using first definition:
1 48 1 2 48 1 3 48
1 4 48 1 6 48 1 8 48
1 12 48 1 16 48 1 24 48
1 2 4 48 1 2 6 48 1 2 8 48
1 2 12 48 1 2 16 48 1 2 24 48
1 2 4 8 48 1 2 4 12 48 1 2 4 16 48
1 2 4 24 48 1 2 4 8 16 48 1 2 4 8 24 48
1 2 4 12 24 48 1 2 6 12 48 1 2 6 24 48
1 2 6 12 24 48 1 2 8 16 48 1 2 8 24 48
1 2 12 24 48 1 3 6 48 1 3 12 48
1 3 24 48 1 3 6 12 48 1 3 6 24 48
1 3 6 12 24 48 1 3 12 24 48 1 4 8 48
1 4 12 48 1 4 16 48 1 4 24 48
1 4 8 16 48 1 4 8 24 48 1 4 12 24 48
1 6 12 48 1 6 24 48 1 6 12 24 48
1 8 16 48 1 8 24 48 1 12 24 48
 
48 sequences using second definition:
48 2 24 3 16
4 12 6 8 8 6
12 4 16 3 24 2
2 2 12 2 3 8 2 4 6
2 6 4 2 8 3 2 12 2
2 2 2 6 2 2 3 4 2 2 4 3
2 2 6 2 2 2 2 2 3 2 2 2 3 2
2 2 3 2 2 2 3 2 4 2 3 4 2
2 3 2 2 2 2 4 2 3 2 4 3 2
2 6 2 2 3 2 8 3 4 4
3 8 2 3 2 2 4 3 2 4 2
3 2 2 2 2 3 4 2 2 4 2 6
4 3 4 4 4 3 4 6 2
4 2 2 3 4 2 3 2 4 3 2 2
6 2 4 6 4 2 6 2 2 2
8 2 3 8 3 2 12 2 2
 
OEIS A163272: [0, 1, 48, 1280, 2496, 28672, 29808]
</pre>
 
=={{header|Wren}}==
2,747

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