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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

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Last modified May 26 12:21 EDT 2017. Contains 287095 sequences.