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A053270 Coefficients of the '6th order' mock theta function rho(q). 10
1, 2, 3, 4, 6, 8, 11, 14, 18, 24, 30, 38, 47, 58, 72, 88, 108, 130, 156, 188, 225, 268, 318, 376, 444, 522, 612, 716, 834, 972, 1129, 1308, 1512, 1744, 2010, 2310, 2652, 3038, 3474, 3968, 4524, 5152, 5857, 6650, 7542, 8540, 9660, 10912, 12312, 13878 (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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 3, 13

LINKS

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

FORMULA

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

MATHEMATICA

Series[Sum[q^(n(n+1)/2) Product[1+q^k, {k, 1, n}]/Product[1-q^k, {k, 1, 2n+1, 2}], {n, 0, 13}], {q, 0, 100}]

CROSSREFS

Other '6th order' mock theta functions are at A053268, A053269, A053271, A053272, A053273, A053274.

Sequence in context: A034891 A143611 A062464 * A261154 A233693 A003412

Adjacent sequences:  A053267 A053268 A053269 * A053271 A053272 A053273

KEYWORD

nonn,easy

AUTHOR

Dean Hickerson, Dec 19 1999

STATUS

approved

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Last modified May 26 10:45 EDT 2016. Contains 273322 sequences.