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D.15.3.34 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
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