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A119968
Binomial transform of Fredholm-Rueppel sequence.
2
1, 2, 3, 5, 9, 16, 27, 44, 73, 130, 251, 507, 1025, 2016, 3811, 6907, 12033, 20282, 33475, 55253, 94185, 171896, 342651, 737266, 1655657, 3751786, 8386587, 18274843, 38629505, 79123224, 157157411, 303174298, 569093601, 1041436386
OFFSET
0,2
COMMENTS
Binomial transform of A036987.
Number of compositions of n such that number of parts is of the form 2^m, m>=0 (offset 1). - Vladeta Jovovic, Jun 27 2007
FORMULA
G.f.: (1/(1-x))*sum{k>=0, (x/(1-x))^(2^k-1)}; a(n)=sum{k=0..n, C(n,2^k-1)}; a(n)=sum{k=0..n, C(n,k)*mod(C(k),2)};
MATHEMATICA
Table[Sum[Binomial[n, 2^k-1], {k, 0, n}], {n, 0, 40}] (* Harvey P. Dale, Aug 18 2012 *)
CROSSREFS
Sequence in context: A269153 A232866 A011826 * A291311 A017914 A137402
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jun 01 2006
STATUS
approved