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!)
A050548 Iterated triangular numbers with seed 7. 9

%I #23 Sep 29 2023 18:59:20

%S 7,28,406,82621,3413156131,5824817388998022646,

%T 16964248807586870937449001943463431981,

%U 143892868802856286225154411591351342616163027795335641150249224655238508171

%N Iterated triangular numbers with seed 7.

%C a(8) has 149 digits. - _Harvey P. Dale_, May 08 2011

%H T. D. Noe, <a href="/A050548/b050548.txt">Table of n, a(n) for n = 0..10</a>

%F a(n) = binomial(a(n-1)+1, 2), a(0)=7.

%F a(n) ~ 2 * c^(2^n), where c = 3.77579046114281148578572146955902030830005575599864345238... . - _Vaclav Kotesovec_, Dec 17 2014

%t NestList[Binomial[#+1,2]&,7,10] (* _Harvey P. Dale_, May 08 2011 *)

%t t = {7}; Do[AppendTo[t, t[[-1]]*(1 + t[[-1]])/2], {9}] (* _T. D. Noe_, Mar 03 2014 *)

%o (PARI) a(n)=my(k=7); for(i=1,n,k=binomial(k+1,2)); k \\ _Charles R Greathouse IV_, Mar 03 2014

%o (Haskell)

%o a050548 n = a050548_list !! n

%o a050548_list = iterate a000217 7

%o (Python)

%o from itertools import accumulate

%o def f(an, _): return an*(an+1)//2

%o print(list(accumulate([7]*11, f))) # _Michael S. Branicky_, Jul 28 2021

%Y Cf. A000217, A007501, A013589.

%Y Cf. A050542, A050536, A050909.

%K nonn,easy,nice

%O 0,1

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

%E a(7) provided by _Harvey P. Dale_, May 08 2011

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 May 3 14:43 EDT 2024. Contains 372215 sequences. (Running on oeis4.)