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A092123
Largest coefficient in expansion of P(0)=x, P(n+1)=P(n)*[1+P(n)].
3
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,...}.
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
KEYWORD
nonn
AUTHOR
Ralf Stephan, Apr 02 2004
STATUS
approved