

A053283


Coefficients of the '10th order' mock theta function X(q)


6



1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 3, 1, 2, 4, 3, 2, 3, 5, 4, 4, 5, 6, 7, 5, 6, 9, 9, 7, 9, 12, 11, 11, 12, 15, 16, 14, 16, 21, 20, 18, 22, 25, 26, 25, 28, 33, 34, 33, 35, 42, 43, 41, 47, 53, 53, 54, 57, 65, 69, 67, 73, 83, 85, 83, 92, 102, 104, 106, 114, 125, 130, 130, 139, 154
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OFFSET

0,6


REFERENCES

YounSeo Choi, Tenth order mock theta functions in Ramanujan's lost notebook, Inventiones Mathematicae, 136 (1999) 497569
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9


LINKS

Table of n, a(n) for n=0..73.


FORMULA

G.f.: X(q) = sum for n >= 0 of (1)^n q^n^2/((1+q)(1+q^2)...(1+q^(2n)))


MATHEMATICA

Series[Sum[(1)^n q^n^2/Product[1+q^k, {k, 1, 2n}], {n, 0, 10}], {q, 0, 100}]


CROSSREFS

Other '10th order' mock theta functions are at A053281, A053282, A053284.
Sequence in context: A097886 A249298 A088863 * A035669 A126863 A106806
Adjacent sequences: A053280 A053281 A053282 * A053284 A053285 A053286


KEYWORD

sign,easy


AUTHOR

Dean Hickerson, Dec 19 1999


STATUS

approved



