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A053273 Coefficients of the '6th order' mock theta function 2 mu(q). 8
1, 2, -3, 4, -4, 6, -11, 14, -15, 22, -31, 34, -41, 56, -69, 82, -98, 120, -152, 178, -204, 254, -308, 354, -415, 496, -587, 680, -785, 922, -1084, 1248, -1427, 1664, -1935, 2202, -2517, 2906, -3336, 3798, -4315, 4930, -5636, 6380, -7202, 8194, -9305, 10474, -11801, 13342, -15050 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 13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..50.

FORMULA

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

MATHEMATICA

Series[1+Sum[(-1)^n q^(n+1) (1+q^n) Product[1-q^k, {k, 1, 2n-1, 2}]/Product[1+q^k, {k, 1, n+1}], {n, 0, 99}], {q, 0, 100}]

CROSSREFS

Other '6th order' mock theta functions are at A053268, A053269, A053270, A053271, A053272, A053274.

Sequence in context: A238963 A017832 A056880 * A049988 A079247 A244903

Adjacent sequences:  A053270 A053271 A053272 * A053274 A053275 A053276

KEYWORD

sign,easy

AUTHOR

Dean Hickerson, Dec 19 1999

STATUS

approved

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Last modified August 29 08:06 EDT 2015. Contains 261188 sequences.