login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A153172 Coefficients of the eighth order mock theta function U_0(q). 8
1, 1, 1, 0, 1, 0, -1, 1, 0, 1, 2, -1, 0, -1, -1, 1, 0, 2, 1, 0, 1, -2, -2, 1, 0, 2, 3, -2, 0, -2, -2, 2, -1, 3, 3, -1, 1, -2, -4, 2, 0, 2, 4, -3, 1, -4, -4, 3, -1, 5, 5, -2, 2, -4, -6, 3, -2, 5, 7, -4, 0, -6, -6, 4, -1, 7, 7, -4, 3, -7, -9, 5, -1, 7, 10, -6, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Table of n, a(n) for n=0..76.

B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321-335.

FORMULA

U_0(q) = Sum_{n >= 0} q^(n^2) (1+q)(1+q^3)...(1+q^(2n-1))/((1+q^4)(1+q^8)...(1+q^(4n))).

PROG

(PARI) lista(nn) = my(q = qq + O(qq^nn)); gf = sum(n = 0, nn, q^(n^2) * prod(k = 1, n, 1 + q^(2*k-1)) / prod(k = 1, n, 1 + q^(4*k))); Vec(gf) \\ Michel Marcus, Jun 18 2013

CROSSREFS

Other '8th order' mock theta functions are at A153148, A153149, A153155, A153156, A153174, A153176, A153178.

Sequence in context: A024359 A088705 A065712 * A242498 A016194 A258139

Adjacent sequences:  A153169 A153170 A153171 * A153173 A153174 A153175

KEYWORD

sign

AUTHOR

Jeremy Lovejoy, Dec 20 2008

EXTENSIONS

More terms from Michel Marcus, Feb 23 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 4 21:09 EST 2016. Contains 278755 sequences.