A193074 G.f.: A(x) = 1 + Sum_{n>=1} x^n*A(x)^prime(n).

1, 1, 3, 11, 46, 208, 993, 4932, 25246, 132327, 706936, 3836187, 21090069, 117230109, 657797920, 3721215175, 21201525478, 121554438782, 700793218421, 4060389849633, 23631280018767, 138090295023370, 809908779557386, 4766153373556047, 28134449221105339

Offset

0,3

Links

Table of n, a(n) for n=0..24.

Example

G.f.: A(x) = 1 + x + 3*x^2 + 11*x^3 + 46*x^4 + 208*x^5 + 993*x^6 +...
where
A(x) = 1 + x*A(x)^2 + x^2*A(x)^3 + x^3*A(x)^5 + x^4*A(x)^7 +...+ x^n*A(x)^prime(n) +...

Prog

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(k=1, n, A=1+sum(j=1, n, x^j*(A+x*O(x^n))^prime(j))); polcoeff(A, n)}

Crossrefs

Sequence in context: A006605 A357233 A306822 * A287891 A371428 A233389

Adjacent sequences: A193071 A193072 A193073 * A193075 A193076 A193077

Keyword

nonn

Author

Paul D. Hanna, Aug 04 2011

Status

approved