A166999 a(n) = a(n-1) + a(n-1)^2 + a(n-1)^3 for n>0 with a(0)=1.

1, 3, 39, 60879, 225636660844959, 11487591726386681145142587842614325062822719

Offset

0,2

Links

Table of n, a(n) for n=0..5.

Formula

Row sums of triangle A166880, which lists the coefficients in the iterations of x+x^2+x^3.

Mathematica

NestList[#+#^2+#^3&, 1, 5] (* Harvey P. Dale, Sep 22 2024 *)

Prog

(PARI) a(n)=if(n==0, 1, a(n-1)+a(n-1)^2+a(n-1)^3)

Crossrefs

Cf. A166880.

Sequence in context: A367033 A097421 A180418 * A319955 A317484 A196159

Adjacent sequences: A166996 A166997 A166998 * A167000 A167001 A167002

Keyword

nonn

Author

Paul D. Hanna, Nov 21 2009

Status

approved