login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A079330 Numerators of coefficients of odd powers of 1/q in the solution series for Tan[x]/x=1. 7
1, 2, 13, 146, 781, 16328, 6316012, 38759594, 9655714457, 50134571594, 25626917879, 638499558282328, 125381104727404588, 435948294065152496, 146414084312394268792, 1076603090723736731974978 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Series contributed by David W. Cantrell.

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 1..250

Vaclav Kotesovec, Asymptotic of the coefficients A079330 / A088989

Eric Weisstein's World of Mathematics, Tanc Function

FORMULA

A079330(n)/A088989(n) ~ c * (Pi/2)^(2*n) / n^(4/3), where c = GAMMA(1/3)/(2^(2/3)*3^(1/6)*Pi^(5/3)) = 0.208532... . - Vaclav Kotesovec, Aug 19 2014

MATHEMATICA

Last/@Partition[CoefficientList[InverseSeries[Series[x+Cot[x], {x, 0, 50}], q], 1/q], 2]

CROSSREFS

Denominators are in A088989.

Cf. A224196.

Sequence in context: A046245 A178248 A107699 * A059367 A309799 A324464

Adjacent sequences:  A079327 A079328 A079329 * A079331 A079332 A079333

KEYWORD

nonn,frac

AUTHOR

Eric W. Weisstein, Jan 03 2003

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 28 06:42 EST 2021. Contains 349401 sequences. (Running on oeis4.)