



0, 0, 4, 20, 36, 52, 128, 216, 328, 464, 636, 796, 908, 1092, 1324, 1520, 1716, 1948, 2144, 2436, 2716, 2972, 3264, 3580, 3812, 4032, 4168, 4268, 4416, 4720, 5012, 5328, 5716, 6128, 6504, 6700, 6932, 7248, 7684, 8180, 8676, 9268, 9680, 10140, 10624, 11024, 11400
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OFFSET

1,3


COMMENTS

The sequence has wild fluctuations  see the successive plots in the links. This is typical behavior for a particle whose movement is governed by an arcsine law (cf. Feller, Chap. III).  N. J. A. Sloane, Nov 23 2013
Negative stretches: terms 9411031 and 131971431205.  Hans Havermann, Nov 23 2013
After reaching a local maximum of 21957005755012 at term 24118371, the sequence again descends with the first negative of a third such stretch at term 32437583.  Hans Havermann, Nov 28 2013


REFERENCES

W. Feller, An Introduction to Probability Theory and its Applications, 3rd ed, Wiley, New York, 1968.


LINKS

Veikko Pohjola, Re: Sister sequences, SeqFan list, Nov 22 2013. (Early observation on how the sequence evolves.)


PROG

(Haskell)
a232221 n = a232221_list !! (n1)
a232221_list = scanl1 (+) a232342_list


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



