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

Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 4, 13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 (1-q)(1-q^3)...(1-q^(2n-1))/((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, 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

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Last modified August 28 03:16 EDT 2015. Contains 261112 sequences.