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 A102396 A mod 2 related Jacobsthal sequence. 2
 0, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 3, 3, 5, 1, 1, 1, 3, 1, 3, 3, 5, 1, 3, 3, 5, 3, 5, 5, 11, 1, 1, 1, 3, 1, 3, 3, 5, 1, 3, 3, 5, 3, 5, 5, 11, 1, 3, 3, 5, 3, 5, 5, 11, 3, 5, 5, 11, 5, 11, 11, 21, 1, 1, 1, 3, 1, 3, 3, 5, 1, 3, 3, 5, 3, 5, 5, 11, 1, 3, 3, 5, 3, 5, 5, 11, 3, 5, 5, 11, 5, 11, 11, 21, 1, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS a(2^n-1)=A001045(n). Conjecture : all elements a(n) are Jacobsthal numbers. A001316(n)=A102395(n)+2*A102396(n). The conjecture is true since a(n)=A001045(A000120(n)). - Paul Barry, Jan 07 2005 LINKS FORMULA a(n)=sum{k=0..n, if(mod(n+k, 3)=1, C(n, k) mod 2, 0)}; a(n)=sum{k=0..n, if(mod(n+k, 3)=2, C(n, k) mod 2, 0)}. a(n)=(1/2)*sum(k=0, n, {F(n+k)*binomial(n, k)} mod 2) where F=A000045; recurrence : a(0)=0 then a(2n)=a(n) and a(2n+1)=2*a(n)+1-2*t(n) where t(n)=A010060(n) is the Thue-Morse sequence - Benoit Cloitre, May 15 2005 CROSSREFS Sequence in context: A132468 A243915 A090176 * A095960 A316314 A183093 Adjacent sequences:  A102393 A102394 A102395 * A102397 A102398 A102399 KEYWORD easy,nonn AUTHOR Paul Barry, Jan 06 2005 STATUS approved

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Last modified April 24 18:03 EDT 2019. Contains 322430 sequences. (Running on oeis4.)