A092123 Largest coefficient in expansion of P(0)=x, P(n+1)=P(n)*[1+P(n)].

1, 1, 2, 10, 302, 391232, 912140731560, 6870302396056798235043564, 552249828443015013351729477795257932661645918815144

Offset

0,3

Comments

It would be nice to have a formula for the 2^(n-1)th coefficient.

The exponent of x in P(n) with a(n) as coefficient is {1,1,2,5,9,19,37,74,147,294,587,1175,...}.

Links

Table of n, a(n) for n=0..8.

Prog

(PARI) P(n)=if(n<1, x, P(n-1)*(P(n-1)+1))
(PARI) a(n)=vecmax(Vec(P(n)))

Crossrefs

Cf. A016131.

Sequence in context: A073834 A321267 A111837 * A079278 A275611 A015178

Adjacent sequences: A092120 A092121 A092122 * A092124 A092125 A092126

Keyword

nonn

Author

Ralf Stephan, Apr 02 2004

Status

approved