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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 (list; graph; refs; listen; history; text; internal format)
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) 60-105

Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 13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 (1-q)(1-q^3)...(1-q^(2n-1))/((1+q)(1+q^2)...(1+q^n))

MATHEMATICA

Series[Sum[(-q)^n Product[1-q^k, {k, 1, 2n-1, 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

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Last modified October 21 03:30 EDT 2014. Contains 248371 sequences.