

A053270


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


8



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
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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) 60105
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 3, 13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)/((1q)(1q^3)...(1q^(2n+1)))


MATHEMATICA

Series[Sum[q^(n(n+1)/2) Product[1+q^k, {k, 1, n}]/Product[1q^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 * A233693 A003412 A038348
Adjacent sequences: A053267 A053268 A053269 * A053271 A053272 A053273


KEYWORD

nonn,easy


AUTHOR

Dean Hickerson, Dec 19 1999


STATUS

approved



