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A101625
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A bisection of the Stern-Jacobsthal numbers.
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5
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0, 1, 1, 5, 1, 21, 17, 69, 1, 277, 273, 1349, 257, 5141, 4113, 16453, 1, 65813, 65809, 329029, 65793, 1381397, 1118225, 4538437, 65537, 18088213, 17826065, 88081733, 16777473, 335549461, 268439569, 1073758277, 1, 4295033109, 4295033105
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} (binomial(2n-k, k-1) mod 2)2^(k-1);
a(0)=0, a(1)=1, a(n) = a(n-1) XOR (a(n-2)*4), where XOR is the bitwise exclusive-OR operator. - Alex Ratushnyak, May 06 2012
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PROG
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(Python)
prpr = 0
prev = 1
for i in range(99):
current = (prev)^(prpr*4)
print(prpr, end=', ')
prpr = prev
prev = current
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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