ProjectiveHilbertPolynomial ZZ -- value of polynomial

ProjectiveHilbertPolynomial ZZ -- value of polynomial

Synopsis:

Operator: symbol " " -- blank operator for adjacent expressions

Input:

an instance of class ZZ.

P i -- the value of a projective Hilbert polynomial P at an integer i.

i1 : P = projectiveHilbertPolynomial 2



o1 = P

      2



o1 : ProjectiveHilbertPolynomial

i2 : apply(0 .. 12, i -> P i)



o2 = (1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91)



o2 : Sequence

See also:

ProjectiveHilbertPolynomial -- the class of all Hilbert polynomials

Code:

     -- ../../../Macaulay2/m2/modules2.m2:261
     ProjectiveHilbertPolynomial ZZ := (P,i) -> sum(pairs P, (n,c) -> c * binomial(n+i,n))