Binomial transform: Difference between revisions
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Add some whitespace, undo an ill-advised twiddle
Thundergnat (talk | contribs) m (→{{header|Raku}}: Show self inverting variant also, other minor twiddles) |
Thundergnat (talk | contribs) m (Add some whitespace, undo an ill-advised twiddle) |
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;* [[oeis:A034943|OEIS:A034943 - Binomial transform of Padovan sequence]]
;* [[oeis:A144413|OEIS:A144413 - a(n) = Sum_{k=0..n} (-1)^k * binomial(n, k) * A000931(n-k+4) (Inverse binomial transform of Padovan sequence)]]
=={{header|C}}==
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for 'Catalan number', (1, {[+] @_ Z× @_.reverse}…*),
'Prime flip-flop', (1..*).
'Fibonacci number', (0,1,*+*…*),
'Padovan number', (1,0,0, -> $c,$b,$ {$b+$c}…*)
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Prime flip-flop sequence:
Forward binomial transform:
0 1 3 6 11 20 37 70 134 255 476 869 1564 2821 5201 9948 19793 40562 84271 174952
Inverse binomial transform:
Round trip:
Self inverting:
Re inverted:
Fibonacci number sequence:
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