

A053272


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


8



1, 1, 3, 5, 6, 7, 11, 16, 18, 21, 30, 40, 47, 56, 72, 92, 108, 125, 156, 193, 225, 263, 318, 383, 444, 513, 612, 724, 834, 963, 1129, 1320, 1512, 1730, 2010, 2325, 2652, 3022, 3474, 3988, 4524, 5129, 5857, 6673, 7542, 8515, 9660, 10943, 12312, 13842
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OFFSET

0,3


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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 13


LINKS

Table of n, a(n) for n=0..49.


FORMULA

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


MATHEMATICA

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


CROSSREFS

Other '6th order' mock theta functions are at A053268, A053269, A053270, A053271, A053273, A053274.
Sequence in context: A047582 A015814 A227026 * A138927 A030333 A081677
Adjacent sequences: A053269 A053270 A053271 * A053273 A053274 A053275


KEYWORD

sign,easy


AUTHOR

Dean Hickerson, Dec 19 1999


STATUS

approved



