login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A295518 a(n) = e^2 * Sum_{k=0..n-1} Gamma(k + 1, 2). 1
0, 1, 4, 14, 52, 220, 1092, 6388, 43588, 341444, 3022660, 29835844, 324782916, 3864151876, 49875956548, 694041238340, 10356520497988, 164956188717892, 2793150548587332, 50100649026499396, 948943120107352900, 18925792541725471556, 396439630395708060484 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = (2*n-4)*a(n-3)+(3-3*n)*a(n-2)+(2+n)*a(n-1) for n >= 3.
MAPLE
a := proc(n) option remember; if n=0 then 0 elif n=1 then 1 elif n=2 then 4 else
(2*n-4)*a(n-3)+(3-3*n)*a(n-2)+(2+n)*a(n-1) fi end: seq(a(n), n=0..22);
MATHEMATICA
a[n_] := E^2 Sum[Gamma[k + 1, 2], {k, 0, n-1}]; Table[a[n], {n, 0, 22}]
CROSSREFS
Cf. A010842.
Sequence in context: A149489 A125783 A090319 * A047118 A017948 A214998
KEYWORD
nonn
AUTHOR
Peter Luschny, Dec 17 2017
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)