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A227571 Denominators of rationals with e.g.f. D(3,x), a Debye function. 2
1, 8, 10, 1, 70, 1, 126, 1, 110, 1, 286, 1, 13650, 1, 34, 1, 3230, 1, 5586, 1, 2530, 1, 1150, 1, 24570, 1, 58, 1, 8990, 1, 157542, 1, 5950, 1, 74, 1, 24949470, 1, 82, 1, 193930, 1, 27090, 1, 10810, 1, 4606, 1, 788970, 1, 1166, 1, 29150, 1, 15162, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See the comments, references and links under A227570.

LINKS

Table of n, a(n) for n=0..55.

FORMULA

a(n) = denominator(3*B(n)/(n+3)), n >= 0,  with the Bernoulli numbers B(n) = A027641(n)/A027642(n).

The e.g.f. of the rationals r(3,n) := 3*B(n)/(n+3) is D(3,x) = (3/x^3)*int(t^3/(exp(x) - 1), t=0..x).

EXAMPLE

The rationals r(3,n), n=0..15 are: 1, -3/8, 1/10, 0, -1/70, 0, 1/126, 0, -1/110, 0, 5/286, 0, -691/13650, 0, 7/34, 0.

CROSSREFS

Cf. A227570, A027641/A027642.

Sequence in context: A114132 A038704 A229196 * A112590 A105386 A124685

Adjacent sequences:  A227568 A227569 A227570 * A227572 A227573 A227574

KEYWORD

nonn,easy,frac

AUTHOR

Wolfdieter Lang, Jul 16 2013

STATUS

approved

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Last modified September 18 12:00 EDT 2019. Contains 327170 sequences. (Running on oeis4.)