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A100745 Modulo 2 binomial transform of the Jacobsthal numbers J(n). 1

%I #3 Mar 30 2012 18:59:02

%S 0,1,1,5,5,17,27,85,85,257,427,1285,1455,4369,7279,21845,21845,65537,

%T 109227,327685,371375,1114129,1856879,5570645,5614335,16843009,

%U 28071679,84215045,95443715,286331153,477218583,1431655765,1431655765,4294967297

%N Modulo 2 binomial transform of the Jacobsthal numbers J(n).

%C J(n) may be inverted through J(n)=sum{k=0..n, (-1)^A010060(n-k)*mod(binomial(n,k),2)A100745(k)}.

%F a(n)=sum{k=0..n, mod(binomial(n, k), 2)J(k)}.

%Y Cf. A001045.

%K easy,nonn

%O 0,4

%A _Paul Barry_, Dec 06 2004

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Last modified March 29 03:41 EDT 2024. Contains 371264 sequences. (Running on oeis4.)