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A101121
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Bitwise XOR of adjacent terms of A101120; also the nonzero terms of A101122.
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2
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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
| 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
| a(5) = 159 since A101120(4)=112, A101120(5)=239 and 159 = 112 XOR 239.
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PROG
| (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
| Cf. A003484, A006519, A101119, A101120, A101122.
Sequence in context: A074275 A051411 A195016 * A160635 A090652 A062675
Adjacent sequences: A101118 A101119 A101120 * A101122 A101123 A101124
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KEYWORD
| nonn
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Dec 02 2004
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