Singular Manual: Bern

| #### D.5.2.36 Bern Procedure from library `chern.lib` (see chern_lib). Usage: Bern(n); n non-negative integer Return: list of numbers Purpose: computes the list of (second) Bernoulli numbers from B(0) to B(n) Note: needs a base ring to be defined, returns an empty list if n is negative, uses the Akiyama-Tanigawa algorithm Example:
    LIB "chern.lib";
    // first 10 Bernoulli numbers: B(0), ..., B(9)
    ring r=0,(t), dp;
    print( Bern(9) );
    ==> [1]:
    ==> 1
    ==> [2]:
    ==> 1/2
    ==> [3]:
    ==> 1/6
    ==> [4]:
    ==> 0
    ==> [5]:
    ==> -1/30
    ==> [6]:
    ==> 0
    ==> [7]:
    ==> 1/42
    ==> [8]:
    ==> 0
    ==> [9]:
    ==> -1/30
    ==> [10]:
    ==> 0

User manual for Singular version 4.4.1, 2025, generated by texi2html.