The integer k that minimizes |k/2^n - 1/phi|, where phi = (1+sqrt(5))/2 = golden ratio.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =10a(5) =20a(6) =40a(7) =79a(8) =158a(9) =316a(10) =633a(11) =1266a(12) =2531a(13) =5063a(14) =10126a(15) =20252a(16) =40503a(17) =81007a(18) =162014a(19) =324028a(20) =648056a(21) =1296111a(22) =2592222a(23) =5184445a(24) =10368890a(25) =20737779a(26) =41475559a(27) =82951118a(28) =165902236a(29) =331804471