The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A272468 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A272468

E.g.f.: ( (sin(2*x) + sin(3*x)) / sin(5*x) )^(1/6).
(history; published version)

#15 by Vaclav Kotesovec at Sat Apr 30 11:01:09 EDT 2016

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#14 by Vaclav Kotesovec at Sat Apr 30 11:00:56 EDT 2016

FORMULA

a(n) ~ (2*n)! * (2*(5 + sqrt(5)))^(1/12) * 5^(2*n) / (Gamma(1/6) * Pi^(2*n + 1/6) * n^(5/6)). - Vaclav Kotesovec, Apr 30 2016

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#13 by Paul D. Hanna at Sat Apr 30 07:24:30 EDT 2016

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#12 by Paul D. Hanna at Sat Apr 30 07:24:27 EDT 2016

PROG

for(n=0, 20, print1(a(n), ", "))

(PARI) {a(n) = my(A=1, X=x+x*O(x^(2*n+1))); (2*n)! * polcoeff( ( (cos(2*X) + cos(3*X))/(1 + cos(5*X)) )^(1/6), 2*n)}

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#11 by Paul D. Hanna at Sat Apr 30 07:23:36 EDT 2016

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#10 by Paul D. Hanna at Sat Apr 30 07:23:34 EDT 2016

FORMULA

E.g.f.: ( (cos(2*x) + cos(3*x)) / (1 + cos(5*x)) )^(1/6).

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#9 by Paul D. Hanna at Sat Apr 30 07:18:39 EDT 2016

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#8 by Paul D. Hanna at Sat Apr 30 07:18:37 EDT 2016

FORMULA

E.g.f.: ( (exp(2*Ii*x) + exp(3*Ii*x)) / (1 + exp(5*Ii*x)) )^(1/6), where Ii^2 = -1.

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#7 by Paul D. Hanna at Sat Apr 30 07:16:16 EDT 2016

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#6 by Paul D. Hanna at Sat Apr 30 07:16:13 EDT 2016

LINKS

Paul D. Hanna, <a href="/A272468/b272468.txt">Table of n, a(n) for n = 0..200</a>

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