

A053265


Coefficients of the '5th order' mock theta function F_1(q)


11



1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 18, 20, 21, 24, 26, 28, 31, 34, 37, 40, 44, 47, 51, 56, 60, 65, 71, 76, 82, 89, 95, 103, 111, 119, 128, 138, 148, 158, 171, 182, 195, 210, 223, 239, 256, 273, 292, 312, 332, 354, 378, 402, 428
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OFFSET

0,5


REFERENCES

George E. Andrews, The fifth and seventh order mock theta functions, Trans. Amer. Math. Soc., 293 (1986) 113134
George E. Andrews and Frank G. Garvan, Ramanujan's "lost" notebook VI: The mock theta conjectures, Advances in Mathematics, 73 (1989) 242255
Srinivasa Ramanujan, Collected Papers, Chelsea, New York, 1962, pp. 354355
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 20, 22, 25
George N. Watson, The mock theta functions (2), Proc. London Math. Soc., series 2, 42 (1937) 274304


LINKS

Table of n, a(n) for n=0..66.


FORMULA

G.f.: F_1(q) = sum for n >= 0 of q^(2n(n+1))/((1q)(1q^3)...(1q^(2n+1)))


MATHEMATICA

Series[Sum[q^(2n(n+1))/Product[1q^(2k+1), {k, 0, n}], {n, 0, 6}], {q, 0, 100}]


CROSSREFS

Other '5th order' mock theta functions are at A053256, A053257, A053258, A053259, A053260, A053261, A053262, A053263, A053264, A053266, A053267.
Sequence in context: A189709 A025771 A154403 * A035452 A199575 A120187
Adjacent sequences: A053262 A053263 A053264 * A053266 A053267 A053268


KEYWORD

nonn,easy


AUTHOR

Dean Hickerson, Dec 19 1999


STATUS

approved



