[go: up one dir, main page]

login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A145493 Coefficients of certain power series associated with Atkin polynomials (see Kaneko-Zagier reference for precise definition). 6
1, 944, 1054170, 1297994880, 1700941165560, 2326960109485440, 3285120488273369460, 4750462777483659350400, 7000542310802147888540760, 10475220761578770433945887360, 15873347459609903883739895346480, 24308956895577230857746294480107520, 37564030601621705287879755722478648000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
M. Kaneko and D. Zagier, Supersingular j-invariants, hypergeometric series and Atkin's orthogonal polynomials, pp. 97-126 of D. A. Buell and J. T. Teitelbaum, eds., Computational Perspectives on Number Theory, Amer. Math. Soc., 1998
FORMULA
a(n) = (A145492(n+1) - A001421(n+1))/330. - Seiichi Manyama, Aug 18 2018
a(n) = ((41*n+77)/2310) * (6*n+6)!/((3*n+3)!*n!*((n+2)!)^2). - Seiichi Manyama, Aug 19 2018
PROG
(PARI) {a(n) = (41*n+77)/2310*(6*n+6)!/((3*n+3)!*n!*(n+2)!^2)} \\ Seiichi Manyama, Aug 19 2018
CROSSREFS
Sequence in context: A234485 A260136 A215838 * A271765 A343330 A133814
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 28 2009
EXTENSIONS
More terms from Seiichi Manyama, Aug 18 2018
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 30 00:57 EDT 2024. Contains 375520 sequences. (Running on oeis4.)