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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

REFERENCES

Youn-Seo Choi, Tenth order mock theta functions in Ramanujan's lost notebook, Inventiones Mathematicae, 136 (1999) 497-569

Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9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

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Last modified December 22 15:15 EST 2014. Contains 252364 sequences.