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 A091072 Numbers a(n) such that odd part of a(n) is of form 4k+1. The bit to the left of least significant bit of a(n) is unset. 19
 1, 2, 4, 5, 8, 9, 10, 13, 16, 17, 18, 20, 21, 25, 26, 29, 32, 33, 34, 36, 37, 40, 41, 42, 45, 49, 50, 52, 53, 57, 58, 61, 64, 65, 66, 68, 69, 72, 73, 74, 77, 80, 81, 82, 84, 85, 89, 90, 93, 97, 98, 100, 101, 104, 105, 106, 109, 113, 114, 116, 117, 121, 122, 125, 128, 129 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Either of form 2a(m) or 4k+1, k>=0, 0 0. - Reinhard Zumkeller, Apr 28 2012 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 J. E. S. Socolar and J. M. Taylor, An aperiodic hexagonal tile, arXiv:1003.4279 [math.CO], 2010. EXAMPLE x + 2*x^2 + 4*x^3 + 5*x^4 + 8*x^5 + 9*x^6 + 10*x^7 + 13*x^8 + 16*x^9 + ... MATHEMATICA Select[ Range[129], EvenQ[ (#/2^IntegerExponent[#, 2] - 1)/2 ] & ] (* Jean-François Alcover, Feb 16 2012, after Pari *) PROG (PARI) for(n=1, 200, if(((n/2^valuation(n, 2)-1)/2)%2==0, print1(n", "))) (PARI) {a(n) = local(m, c); if( n<1, 0, c=1; m=1; while( c

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Last modified October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)