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!)
A093935 a(1) = 1, a(n+1) = a(n) + n*(a(1) + a(2) + ... + a(n)). 1
1, 2, 8, 41, 249, 1754, 14084, 127057, 1272625, 14015014, 168323364, 2189619553, 30670104577, 460235322854, 7366138539416, 125257398648401, 2255126454472401, 42855262052316218, 857238357862313360 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..19.

FORMULA

a(1)=1, a(2)=2, a(n+1) = ((n^2 + n - 1)*a(n) - n*a(n-1))/(n-1) (n >= 2). - Emeric Deutsch, Apr 18 2005

a(n) ~ c * n * n!, where c = 0.3528340286156377191506207876191884610951482075010678369927893147532331585216... - Vaclav Kotesovec, Jul 13 2021

MAPLE

a[1]:=1:a[2]:=2: for n from 2 to 30 do a[n+1]:=((n^2+n-1)*a[n]-n*a[n-1])/(n-1) od:seq(a[n], n=1..23); # Emeric Deutsch, Apr 18 2005

MATHEMATICA

RecurrenceTable[{a[1]==1, a[2]==2, a[n+1] == ((n^2 + n - 1)*a[n] - n*a[n-1])/(n-1)}, a, {n, 1, 20}] (* Vaclav Kotesovec, Jul 13 2021 *)

CROSSREFS

Sequence in context: A294084 A177340 A067119 * A099240 A134055 A136281

Adjacent sequences: A093932 A093933 A093934 * A093936 A093937 A093938

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Apr 26 2004

EXTENSIONS

More terms from Emeric Deutsch, Apr 18 2005

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 January 27 01:46 EST 2023. Contains 359836 sequences. (Running on oeis4.)