The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A229039 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A229039

G.f.: Sum_{n>=0} (n+2)^n * x^n / (1 + (n+2)*x)^n.
(history; published version)

#24 by Joerg Arndt at Tue Mar 12 02:42:15 EDT 2024

STATUS

editing

approved

#23 by Paolo P. Lava at Mon Mar 11 13:24:05 EDT 2024

MAPLE

a:=series(add((n+2)^n*x^n/(1+(n+2)*x)^n, n=0..100), x=0, 22): seq(coeff(a, x, n), n=0..21); # Paolo P. Lava, Mar 27 2019

STATUS

approved

editing

#22 by Michel Marcus at Sun Dec 11 06:03:12 EST 2022

STATUS

reviewed

approved

#21 by Joerg Arndt at Sun Dec 11 01:22:11 EST 2022

STATUS

proposed

reviewed

#20 by Amiram Eldar at Sun Dec 11 01:19:32 EST 2022

STATUS

editing

proposed

#19 by Amiram Eldar at Sun Dec 11 01:13:48 EST 2022

MATHEMATICA

a[n_] := (n + 5)*n!/2; a[0] = 1; Array[a, 20, 0] (* Amiram Eldar, Dec 11 2022 *)

#18 by Amiram Eldar at Sun Dec 11 01:11:06 EST 2022

FORMULA

From Amiram Eldar, Dec 11 2022: (Start)

Sum_{n>=0} 1/a(n) = 18*e - 237/5.

Sum_{n>=0} (-1)^n/a(n) = 243/5 - 130/e. (End)

STATUS

approved

editing

#17 by Bruno Berselli at Wed Mar 27 09:57:26 EDT 2019

STATUS

editing

approved

#16 by Paolo P. Lava at Wed Mar 27 07:57:09 EDT 2019

MAPLE

a:=series(add((n+2)^n*x^n/(1+(n+2)*x)^n, n=0..100), x=0, 22): seq(coeff(a, x, n), n=0..21); # Paolo P. Lava, Mar 27 2019

STATUS

approved

editing

#15 by Paul D. Hanna at Mon Oct 07 20:33:54 EDT 2013

STATUS

editing

approved