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A133179
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A modular binomial sum transform of 2^n .
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1
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1, 1, 1, 3, 1, 3, 5, 15, 1, 3, 5, 15, 17, 51, 85, 255, 1, 3, 5, 15, 17, 51, 85, 255, 257, 771, 1285, 3855, 4369, 13107, 21845, 65535, 1, 3, 5, 15, 17, 51, 85, 255, 257, 771, 1285, 3855, 4369, 13107, 21845, 65535
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| a(n) = Sum_{k=0..floor(n/2), mod(binomial(n,k),2)2^k}.
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EXAMPLE
| A034868 is:
1;
1;
1, 2;
1, 3;
1, 4, 6;
1, 5, 10 ;...
A034868 modulo 2:
1;
1;
1, 0;
1, 1;
1, 0, 0;
1, 1, 0 ;...
a(0)=1*2^0 = 1;
a(1)=1*2^0 = 1;
a(2)=1*2^0+0*2^1 = 1;
a(3)=1*2^0+1*2^1 = 3;
a(4)=1*2^0+0*2^1+0*2^2 = 1
a(5)=1*2^0+1*2^1+0*2^2 = 3
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CROSSREFS
| Cf. A034868 A048896 A101692 A130047.
Sequence in context: A189442 A114144 A050820 * A146908 A049324 A181843
Adjacent sequences: A133176 A133177 A133178 * A133180 A133181 A133182
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KEYWORD
| nonn,tabf
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 10 2007
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