A178373 a(n) = A001969(n)^A178253(n).
81, 25, 1296, 81, 100, 20736, 50625, 289, 324, 400, 529, 331776, 14348907, 841, 810000, 1089, 1156, 1296, 1521, 1600, 1849, 91125, 2116, 5308416, 2601, 7890481, 459165024, 601692057, 3364, 12960000, 15752961, 4225, 4356, 4624, 5041, 5184
Offset: 1
Examples
A001969(1)=3, A178253(1)=4, a(1)=3^4=81.
Programs
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PARI
a(n)=my(e=2*n--+hammingweight(n)%2, m=1); e>>=valuation(e, 2); while(hammingweight(e^m++)%2==0, ); e^m \\ Charles R Greathouse IV, Mar 22 2013
Comments