login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A114793 a(1) = a(2) = 1; for n>2, a(n) = a(n-2)^3 + a(n-1)^2. 7
1, 1, 2, 5, 33, 1214, 1509733, 2281082919633, 5203342727366374356990526, 27074775538448408469117040958804384971249439965813, 733043470457364306745565389055274337169526356099299839341244874661931850021760795731279812250002545 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..11.

Index entries for sequences of form a(n+1)=a(n)^2 + ...

FORMULA

a(n) ~ c^(2^n), where c = 1.117568080436159210016482629050645172893788101196409851633874670767953... . - Vaclav Kotesovec, Dec 18 2014

EXAMPLE

a(4) = sum of the cube of a(2) plus the square of a(3) = cube of 1 + the square of 2, resulting in 1 + 4 = 5. The next term is a(3)^3 + a(4)^2 = (2^3) + 5^2 = 33 = a(5).

MATHEMATICA

Nest[Append[#, Last[#]^2+#[[-2]]^3]&, {1, 1}, 10]  (* Harvey P. Dale, Apr 17 2011 *)

PROG

(Python) Note that N needs to be set. If you set N to 20 the sequence will generate 1, 1, 2, 5 and stop. Set N to 10000 and it goes up to 1214.

.a, b = 0, 1

.while b < N:

... print b

... a, b = b, a*a*a + b*b

CROSSREFS

Sequence in context: A198089 A197974 A208985 * A254429 A027303 A052695

Adjacent sequences:  A114790 A114791 A114792 * A114794 A114795 A114796

KEYWORD

nonn

AUTHOR

Stephen T. Rowe (EbolaPox(AT)gmail.com), Feb 18 2006

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified November 20 10:31 EST 2017. Contains 294963 sequences.