Hi all,

In sage, as of 4.1.1, binomial( -7, 1 ) returns -7.  As I understand the
definition of binomial, this should be 0, since there is no set with -7
elements.

Axiom returns 0 in this case.

This is not really a "problem" but does give *interesting* results, when
summing binomials over all integers.  For some value of all.

That is,

sum( [ binomial( 3 + i, 2 ) * binomial( 15 - i, 3 ) for i in [-1..12] ] )

should be the same as

sum( [ binomial( 3 + i, 2 ) * binomial( 15 - i, 3 ) for i in [-14..100] ] )


Johann

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