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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
OFFSET
1,2
COMMENTS
Series contributed by David W. Cantrell.
LINKS
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
KEYWORD
nonn,frac
AUTHOR
Eric W. Weisstein, Jan 03 2003
STATUS
approved