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Search: id:A101121
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| 7, 17, 34, 68, 159, 257, 514, 1028, 2063, 4097, 8194, 16388, 32831, 65537, 131074, 262148, 524303, 1048577, 2097154, 4194308, 8388639, 16777217, 33554434, 67108868, 134217743, 268435457, 536870914, 1073741828, 2147483775
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OFFSET
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1,1
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COMMENT
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A101120 gives the records in A101119, which equals the nonzero differences of A006519 and A003484. A101122 is the XOR BINOMIAL transform of A101119, and has zeros everywhere except at positions equal to powers of 2.
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FORMULA
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a(n) = A101120(n-1) XOR A101120(n) for n>1, with a(1) = A101120(1), where A101120(n) = 2^(n+3) - 2^((n-1)(Mod 4)) - 8*floor((n+3)/4).
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EXAMPLE
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a(5) = 159 since A101120(4)=112, A101120(5)=239, and 159 = 112 XOR 239.
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PROGRAM
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(PARI) {a(n)=bitxor(2^(n+2)-2^((n-2)%4)-8*((n+2)\4), 2^(n+3)-2^((n-1)%4)-8*((n+3)\4))}
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CROSSREFS
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Cf. A003484, A006519, A101119, A101120, A101122.
Adjacent sequences: A101118 A101119 A101120 this_sequence A101122 A101123 A101124
Sequence in context: A128002 A074275 A051411 this_sequence A090652 A062675 A106095
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe (plouffe(AT)math.uqam.ca) and Paul D. Hanna (pauldhanna(AT)juno.com), Dec 02 2004
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