cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A367519 Denominators of even-numbered Maclaurin coefficients of sqrt(tan(x)/x).

Original entry on oeis.org

1, 6, 360, 3024, 1814400, 887040, 72648576000, 784604620800, 13857951744000, 196503623737344000, 8430005458332057600000, 1249560422395084800000, 747275354440475148288000000, 25197383852207757066240000, 2105181427080881417748480000000, 154617478967448121358942208000000
Offset: 0

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Author

Robert Israel, Nov 21 2023

Keywords

Comments

Denominators of Maclaurin coefficients of sqrt(tan(sqrt(x)))/x^(1/4).

Examples

			sqrt(tan(x)/x) = 1 + (1/6) * x^2 + (19/360) * x^4 + (55/3024) * x^6 + ...
		

Crossrefs

Programs

  • Maple
    S:= series(sqrt(tan(x)/x), x, 41):
    seq(denom(coeff(S,x,i)),i=0..40,2);

Formula

sqrt(tan(x)/x) = Sum_{k=0..oo} A367518(k)/a(k) * x^(2*k).
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