The On-Line Encyclopedia of Integer Sequences (OEIS)

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A002546

Denominator of Sum_{i+j+k=n; i,j,k > 0} 1/(i*j*k).
(history; published version)

#29 by Alois P. Heinz at Sat Nov 17 21:31:11 EST 2018

STATUS

editing

approved

#28 by Alois P. Heinz at Sat Nov 17 21:31:08 EST 2018

DATA

1, 2, 4, 8, 15, 240, 15120, 672, 8400, 100800, 69300, 4950, 17199000, 22422400, 33633600, 201801600, 467812800, 102918816000, 410646075840, 3555377280, 215100325440, 5162407810560, 30920671782000, 190281057120, 1085315579548200, 562756226432400, 22969641895200

#27 by Alois P. Heinz at Sat Nov 17 21:30:20 EST 2018

MAPLE

with(combinat):seq(denom(stirling1-Stirling1(j+3, , 3)/(j+3)!*3!*(-1)^j), j=03..50); # Barbara Margolius (b.margolius(AT)math.csuohio.edu), Jan 19 2002

STATUS

proposed

editing

#26 by Jon E. Schoenfield at Sat Nov 17 21:27:06 EST 2018

STATUS

editing

proposed

#25 by Jon E. Schoenfield at Sat Nov 17 21:26:53 EST 2018

NAME

Denominator of sum 1/(Sum_{i*+j*+k) for =n; i,j,k > 0 and } 1/(i+*j+*k=n).

MATHEMATICA

Denominator[Table[Sum[1/i/j/(n-i-j), {i, n-2}, {j, n-i-1}], {n, 3, 100}]] (* _Ryan Propper _ *)

STATUS

approved

editing

#24 by N. J. A. Sloane at Wed Oct 07 09:55:33 EDT 2015

STATUS

editing

approved

#23 by N. J. A. Sloane at Wed Oct 07 09:55:31 EDT 2015

LINKS

A. N. Lowan, H. E. Salzer and A. Hillman, <a href="/A002545/a002545.pdf">A table of coefficients for numerical differentiation</a>, Bull. Amer. Math. Soc., 48 (1942), 920-924. [Annotated scanned copy]

STATUS

approved

editing

#22 by N. J. A. Sloane at Sat Jul 18 13:14:32 EDT 2015

STATUS

editing

approved

#21 by N. J. A. Sloane at Sat Jul 18 13:14:29 EDT 2015

LINKS

W. G. Bickley and J. C. P. Miller, <a href="/A002551/a002551.pdf">Numerical differentiation near the limits of a difference table</a>, Phil. Mag., 33 (1942), 1-12 (plus tables) [Annotated scanned copy]

STATUS

approved

editing

#20 by N. J. A. Sloane at Wed Dec 24 19:55:37 EST 2014

STATUS

proposed

approved