%I #11 Jul 10 2022 13:23:50
%S 7,17,34,68,159,257,514,1028,2063,4097,8194,16388,32831,65537,131074,
%T 262148,524303,1048577,2097154,4194308,8388639,16777217,33554434,
%U 67108868,134217743,268435457,536870914,1073741828,2147483775
%N Bitwise XOR of adjacent terms of A101120; also the nonzero terms of A101122.
%C 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.
%F 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).
%e a(5) = 159 since A101120(4)=112, A101120(5)=239 and 159 = 112 XOR 239.
%o (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))}
%o (Python)
%o def A101121(n): return ((1<<(n+2))-(1<<((n-2)&3))-(((n+2)&-4)<<1))^((1<<(n+3))-(1<<((n-1)&3))-(((n+3)&-4)<<1)) # _Chai Wah Wu_, Jul 10 2022
%Y Cf. A003484, A006519, A101119, A101120, A101122.
%K nonn
%O 1,1
%A _Simon Plouffe_ and _Paul D. Hanna_, Dec 02 2004