A145382 Write the n-th prime in binary. Change all 0's to 1's and all 1's to 0's. a(n) is the decimal equivalent of the result.

1, 0, 2, 0, 4, 2, 14, 12, 8, 2, 0, 26, 22, 20, 16, 10, 4, 2, 60, 56, 54, 48, 44, 38, 30, 26, 24, 20, 18, 14, 0, 124, 118, 116, 106, 104, 98, 92, 88, 82, 76, 74, 64, 62, 58, 56, 44, 32, 28, 26, 22, 16, 14, 4, 254, 248, 242, 240, 234, 230, 228, 218, 204, 200, 198, 194, 180, 174

Offset: 1

Author

Leroy Quet, Oct 09 2008

Keywords

• base
• nonn

Comments

a(n) = A035327(p(n)), where p(n) is the n-th prime.

Crossrefs

A171008 gives the binary expansions. Cf. A035327.

Programs

Maple

f:=proc(n) options operator, arrow: 2^(1+floor(log[2](n)))-n-1 end proc: seq(f(ithprime(n)),n=1..71); # Emeric Deutsch, Oct 19 2008

Formula

a(n)=2^{1+floor(log[2](p(n)))}-n-1, where p(n) is the n-th prime. - Emeric Deutsch, Oct 19 2008

Extensions

Extended by Emeric Deutsch, Oct 19 2008