# Computed 2018-05-18 as follows: # # First A064413 data was prepared with Chai Wah Wu's Python-program (dated Dec 08 2014): # # from fractions import gcd # # A064413_list, l, s, b = [1, 2], 2, 3, {} # # outfp = open('b064413_big.txt', 'w') # outfp.write(str(1) + " " + str(1) + "\n") # outfp.write(str(2) + " " + str(2) + "\n") # k = 2 # # for _ in range(65537): # i = s # while True: # if not i in b and gcd(i, l) > 1: # A064413_list.append(i) # k += 1 # outfp.write(str(k) + " " + str(i) + "\n") # l, b[i] = i, True # while s in b: # b.pop(s) # s += 1 # break # i += 1 # # Then a "terms only" text file was prepared with: # gawk ' { print $2 } ' < b064413_big.txt > b064413_upto65539_terms_only.txt # # And then read into GP/PARI CALCULATOR Version 2.9.4 (released) amd64 running mingw (x86-64/GMP-6.1.2 kernel) 64-bit version, compiled: Dec 20 2017, gcc version 4.9.1 (GCC), threading engine: single # # v064413 = readvec("b064413_upto65539_terms_only.txt"); # A064413(n) = v064413[n]; # A064301(n) = valuation(A064413(n),2); # for(n=1,65539,write("b064301.txt", n, " ", A064301(n))); 1 0 2 1 3 2 4 1 5 0 6 0 7 2 8 3 9 1 10 0 11 0 12 1 13 1 14 0 15 0 16 3 17 4 18 2 19 1 20 0 21 0 22 0 23 1 24 0 25 0 26 2 27 1 28 0 29 0 30 2 31 5 32 1 33 0 34 0 35 1 36 1 37 0 38 0 39 0 40 3 41 2 42 1 43 0 44 0 45 4 46 1 47 2 48 1 49 3 50 0 51 0 52 2 53 0 54 0 55 1 56 1 57 0 58 0 59 1 60 1 61 0 62 0 63 3 64 6 65 2 66 1 67 0 68 0 69 0 70 1 71 2 72 4 73 1 74 0 75 0 76 0 77 2 78 0 79 3 80 1 81 0 82 0 83 1 84 0 85 0 86 2 87 2 88 1 89 0 90 0 91 5 92 1 93 0 94 3 95 1 96 0 97 0 98 2 99 1 100 0 101 0 102 1 103 1 104 4 105 2 106 1 107 0 108 0 109 0 110 3 111 0 112 0 113 1 114 1 115 0 116 0 117 1 118 0 119 0 120 2 121 2 122 7 123 2 124 0 125 0 126 1 127 1 128 0 129 0 130 0 131 1 132 3 133 1 134 0 135 0 136 4 137 1 138 0 139 0 140 0 141 1 142 0 143 0 144 5 145 2 146 3 147 2 148 0 149 1 150 1 151 0 152 0 153 0 154 3 155 0 156 0 157 1 158 2 159 1 160 0 161 0 162 0 163 1 164 2 165 4 166 1 167 0 168 0 169 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