A112980 a(0) = 0, a(1) = 1; for n>=2: a(n) = a(n-1)^5 + a(n-2)^5.

0, 1, 1, 2, 33, 39135425, 91801604643057285538237803582627026018

Offset: 0

Author

Jonathan Vos Post, Jan 02 2006

Keywords

• easy
• nonn

Examples

			a(3) = 1^5 + 1^5 = 2.
a(4) = 1^5 + 2^5 = 33.
a(5) = 2^5 + 33^5 = 39135425.
a(6) = 33^5 + 39135425^5 = 91801604643057285538237803582627026018.
		

Links

• Eric Weisstein's World of Mathematics, Quintic Equation

Crossrefs

Cf. A000045, A000283, A112961, A112969.

Programs

Mathematica

RecurrenceTable[{a[1]==a[2]==1,a[n]==a[n-1]^5+a[n-2]^5},a,{n,7}] (* Harvey P. Dale, May 01 2012 *)

Extensions

a(0)=0 prepended by Alois P. Heinz, Sep 15 2023