Raymond Hettinger added the comment:

AFAICT other implementations of accumulators do not have an initializer.  See:

* 
http://docs.scipy.org/doc/numpy/reference/generated/numpy.ufunc.accumulate.html

* https://stat.ethz.ch/R-manual/R-devel/library/base/html/cumsum.html

* http://microapl.com/apl/apl_concepts_chapter5.html
  \+ 1 2 3 4 5
  1 3 6 10 15

* https://reference.wolfram.com/language/ref/Accumulate.html

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