

A053284


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


3



0, 1, 1, 1, 2, 2, 1, 2, 3, 3, 3, 3, 4, 4, 4, 5, 6, 7, 6, 7, 9, 8, 8, 10, 12, 13, 13, 13, 16, 17, 16, 19, 21, 22, 23, 25, 28, 29, 30, 33, 37, 39, 39, 42, 48, 49, 50, 55, 60, 64, 66, 70, 77, 81, 82, 89, 97, 101, 105, 112, 121, 126, 131, 140, 151, 159, 163, 173, 187, 194, 202
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OFFSET

0,5


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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9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..70.


FORMULA

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


MATHEMATICA

Series[Sum[(1)^n q^(n+1)^2/Product[1+q^k, {k, 1, 2n+1}], {n, 0, 9}], {q, 0, 100}]


CROSSREFS

Other '10th order' mock theta functions are at A053281, A053282, A053283.
Sequence in context: A165927 A127830 A176816 * A050371 A172313 A022871
Adjacent sequences: A053281 A053282 A053283 * A053285 A053286 A053287


KEYWORD

sign,easy


AUTHOR

Dean Hickerson, Dec 19 1999


STATUS

approved



