Multifactorial: Difference between revisions
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ReeceGoding (talk | contribs) |
ReeceGoding (talk | contribs) (→Sequence solution: Made output nicer looking.) |
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<lang r>mfact<-function(n,deg){prod(seq(from = n, to = 1, by = -deg))} |
<lang r>mfact<-function(n,deg){prod(seq(from = n, to = 1, by = -deg))} |
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outer(1:10,1:5,Vectorize(mfact))</lang> |
outer(1:10,1:5,Vectorize(mfact))</lang> |
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If we really insist on a pretty table, we can |
If we really insist on a pretty table, then we can add some names and transpose the output. |
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<lang r>mfact<-function(n,deg){prod(seq(from = n, to = 1, by = -deg))} |
<lang r>mfact<-function(n,deg){prod(seq(from = n, to = 1, by = -deg))} |
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n<-1:10; names(n)<-n |
n<-1:10; names(n)<-n |
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deg<-1:5; names(deg)<-paste("Degree",deg) |
deg<-1:5; names(deg)<-paste("Degree",deg) |
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outer(n,deg,Vectorize(mfact))</lang> |
t(outer(n,deg,Vectorize(mfact)))</lang> |
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{{out}} |
{{out}} |
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<pre>> outer(1:10,1:5,Vectorize(mfact)) |
<pre>> outer(1:10,1:5,Vectorize(mfact)) |
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[10,] 3628800 3840 280 120 50 |
[10,] 3628800 3840 280 120 50 |
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> outer(n,deg,Vectorize(mfact))#"Pretty" version |
> t(outer(n,deg,Vectorize(mfact)))#"Pretty" version |
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| ⚫ | |||
Degree 1 Degree 2 Degree 3 Degree 4 Degree 5 |
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Degree 1 1 2 6 24 120 720 5040 40320 362880 3628800 |
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| ⚫ | |||
Degree 2 1 2 3 8 15 48 105 384 945 3840 |
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3 |
Degree 3 1 2 3 4 10 18 28 80 162 280 |
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4 |
Degree 4 1 2 3 4 5 12 21 32 45 120 |
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5 |
Degree 5 1 2 3 4 5 6 14 24 36 50</pre> |
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6 720 48 18 12 6 |
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7 5040 105 28 21 14 |
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8 40320 384 80 32 24 |
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9 362880 945 162 45 36 |
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10 3628800 3840 280 120 50</pre> |
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=={{header|Racket}}== |
=={{header|Racket}}== |
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