The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A227573 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A227573

Numerators of rationals with e.g.f. D(4,x), a Debye function.
(history; published version)

#19 by Michael De Vlieger at Fri Dec 08 23:37:00 EST 2023

STATUS

reviewed

approved

#18 by Andrey Zabolotskiy at Fri Dec 08 20:11:24 EST 2023

STATUS

proposed

reviewed

#17 by Paolo Xausa at Fri Dec 08 18:00:22 EST 2023

STATUS

editing

proposed

#16 by Paolo Xausa at Fri Dec 08 17:59:49 EST 2023

MATHEMATICA

A227573[n_]:=Numerator[4BernoulliB[n]/(n+4)];

Array[A227573, 50, 0] (* Paolo Xausa, Dec 08 2023 *)

STATUS

approved

editing

#15 by Alois P. Heinz at Fri Dec 08 17:58:00 EST 2023

STATUS

proposed

approved

#14 by Michel Marcus at Fri Dec 08 12:10:36 EST 2023

STATUS

editing

proposed

#13 by Michel Marcus at Fri Dec 08 12:10:33 EST 2023

COMMENTS

D(4,x) and a series expansion valid for |x| < 2*piPi.

STATUS

proposed

editing

#12 by Andrey Zabolotskiy at Fri Dec 08 11:54:19 EST 2023

STATUS

editing

proposed

#11 by Andrey Zabolotskiy at Fri Dec 08 11:39:48 EST 2023

COMMENTS

Essentially the same as Initially coincides with A227570, A176327, A164555 and A027641 for n <> 1. - R. J. Mathar, Jul 19 2013

Differs from these sequences for n = 1328, 2660, 2828, 2880... - Andrey Zabolotskiy, Dec 08 2023

PROG

(Sage)

print([(bernoulli(n)*4/(n+4)).numerator() for n in range(30)]) # Andrey Zabolotskiy, Dec 08 2023

CROSSREFS

Cf. A227570, A227574, A027641/A027642, A120086/A120087 (D(4,x) as o.g.f.).

STATUS

approved

editing

#10 by N. J. A. Sloane at Fri Nov 10 14:43:04 EST 2017

STATUS

editing

approved