

A053269


Coefficients of the '6th order' mock theta function psi(q).


8



0, 1, 1, 1, 2, 3, 2, 2, 4, 5, 5, 5, 7, 9, 8, 9, 12, 14, 15, 16, 20, 23, 23, 25, 31, 36, 37, 40, 47, 54, 56, 60, 71, 79, 84, 91, 103, 115, 121, 131, 149, 164, 174, 188, 210, 232, 245, 264, 294, 321, 343, 368, 406, 443, 470, 505, 554, 602, 641, 687, 751, 813, 863, 925
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OFFSET

0,5


REFERENCES

George E. Andrews and Dean Hickerson, Ramanujan's "lost" notebook VII: The sixth order mock theta functions, Advances in Mathematics, 89 (1991) 60105
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 4, 13


LINKS

Table of n, a(n) for n=0..63.


FORMULA

G.f.: psi(q) = sum for n >= 0 of (1)^n q^(n+1)^2 (1q)(1q^3)...(1q^(2n1))/((1+q)(1+q^2)...(1+q^(2n+1)))


MATHEMATICA

Series[Sum[(1)^n q^(n+1)^2 Product[1q^k, {k, 1, 2n1, 2}]/Product[1+q^k, {k, 1, 2n+1}], {n, 0, 9}], {q, 0, 100}]


CROSSREFS

Other '6th order' mock theta functions are at A053268, A053270, A053271, A053272, A053273, A053274.
Sequence in context: A002307 A029247 A194020 * A163873 A225176 A118665
Adjacent sequences: A053266 A053267 A053268 * A053270 A053271 A053272


KEYWORD

sign,easy


AUTHOR

Dean Hickerson, Dec 19 1999


STATUS

approved



