Stirling numbers of the first kind: Difference between revisions
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(158 digits, k = 5)</pre>
=={{header|Lua}}==
<syntaxhighlight lang="lua">
do -- show some (unsigned) Stirling numbers of the first kind
local MAX_STIRLING = 12
-- construct a matrix of Stirling numbers up to max n, max n
local s1 = {}
for n = 0, MAX_STIRLING do
s1[ n ] = {}
for k = 0, MAX_STIRLING do s1[ n ][ k ] = 0 end
end
s1[ 0 ][ 0 ] = 1
for n = 1, MAX_STIRLING do s1[ n ][ 0 ] = 0 end
for n = 1, MAX_STIRLING do
for k = 1, n do
local s1Term = ( ( n - 1 ) * s1[ n - 1 ][ k ] )
s1[ n ][ k ] = s1[ n - 1 ][ k - 1 ] + s1Term
end
end
io.write( "Unsigned Stirling numbers of the first kind:\n" )
io.write( " k 0" )
for k = 1, MAX_STIRLING do
io.write( string.format( ( k < 6 and "%10d" or "%9d" ), k ) )
end
io.write( "\n" )
io.write( " n\n" );
for n = 0, MAX_STIRLING do
io.write( string.format( "%2d", n ), string.format( "%3d", s1[ n ][ 0 ] ) )
for k = 1, n do
io.write( string.format( ( k < 6 and "%10d" or "%9d" ), s1[ n ][ k ] ) )
end
io.write( "\n" )
end
end
</syntaxhighlight>
{{out}}
<pre>
Unsigned Stirling numbers of the first kind:
k 0 1 2 3 4 5 6 7 8 9 10 11 12
n
0 1
1 0 1
2 0 1 1
3 0 2 3 1
4 0 6 11 6 1
5 0 24 50 35 10 1
6 0 120 274 225 85 15 1
7 0 720 1764 1624 735 175 21 1
8 0 5040 13068 13132 6769 1960 322 28 1
9 0 40320 109584 118124 67284 22449 4536 546 36 1
10 0 362880 1026576 1172700 723680 269325 63273 9450 870 45 1
11 0 3628800 10628640 12753576 8409500 3416930 902055 157773 18150 1320 55 1
12 0 39916800 120543840 150917976 105258076 45995730 13339535 2637558 357423 32670 1925 66 1
</pre>
=={{header|Mathematica}} / {{header|Wolfram Language}}==
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