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!)
A050536 Iterated triangular numbers with seed 8. 10

%I #16 Sep 29 2023 18:57:49

%S 8,36,666,222111,24666759216,304224505122393846936,

%T 46276274758482720006792605816457695217516,

%U 1070746802761292462947634762387664148872006333922794021004562705432032738124213886

%N Iterated triangular numbers with seed 8.

%H Reinhard Zumkeller, <a href="/A050536/b050536.txt">Table of n, a(n) for n = 0..10</a>

%F a(n) = binomial(a(n-1)+1, 2), a(0)=8.

%F a(n) ~ 2 * c^(2^n), where c = 4.2726038862497240421168669075178596377687659229240586312... . - _Vaclav Kotesovec_, Dec 17 2014

%t NestList[Binomial[#+1,2]&,8,7] (* _Harvey P. Dale_, Jan 22 2016 *)

%o (Haskell)

%o a050536 n = a050536_list !! n

%o a050536_list = iterate a000217 8 -- _Reinhard Zumkeller_, Apr 10 2014

%o (PARI) a(n)=if(n==0,8,(a(n-1))*(a(n-1)+1)/2) \\ _Edward Jiang_, Sep 07 2014

%Y Cf. A000217.

%Y Cf. A007501, A013589, A050542, A050548, A050909.

%K easy,nice,nonn

%O 0,1

%A Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 29 1999

%E One more term (a(7)) from _Harvey P. Dale_, Jan 22 2016

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 April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)