OFFSET
0,3
COMMENTS
FORMULA
EXAMPLE
Denote the n-th term of the binomial transform by: b(n)=A101911(n):
A101911 = {1,2,5,12,30,73,169,377,831,1842,4110,...}.
Note A000120 = {0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,...}.
Then this sequence is formed by the following construct:
{1,b(0),b(1),b(1),b(2),b(1),b(2),b(2),b(3),...,b(A000120(n-1)),...}
so that a(2^0)=b(0), a(2^1)=b(1), a(2^2)=b(2), a(2^3)=b(3), ...
PROG
(PARI) {a(n)=if(n==0, 1, sum(k=0, n-1, (binomial(n-1, k)%2)*a(subst(Pol(binary(n-k-1)), x, 1))))}
CROSSREFS
KEYWORD
eigen,nonn
AUTHOR
Paul D. Hanna, Dec 21 2004
STATUS
approved