Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Another Look at "Faulhaber and Bernoulli"   Let "Faulhaber's formula" refer to an expression for the sum of powers of
integers written with terms in n(n+1)/2. Initially, the author used Faulhaber's
formula to explain why odd Bernoulli numbers are equal to zero. Next, Cereceda
gave alternate proofs of that result and then proved the converse, if odd
Bernoulli numbers are equal to zero then we can derive Faulhaber's formula.
Here, the original author will give a new proof of the converse.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom