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A319281
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Numbers of the form 16^i*(16*j + 1).
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5
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1, 16, 17, 33, 49, 65, 81, 97, 113, 129, 145, 161, 177, 193, 209, 225, 241, 256, 257, 272, 273, 289, 305, 321, 337, 353, 369, 385, 401, 417, 433, 449, 465, 481, 497, 513, 528, 529, 545, 561, 577, 593, 609, 625, 641, 657, 673, 689, 705, 721, 737, 753, 769, 784
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OFFSET
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1,2
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COMMENTS
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{a(n)} gives all positive fourth powers modulo all powers of 2, that is, positive fourth powers over 2-adic integers. So this sequence is closed under multiplication.
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LINKS
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FORMULA
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a(n) = 15*n + O(log(n)).
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PROG
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(PARI) isA319281(n)= n\16^valuation(n, 16)%16==1
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CROSSREFS
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Perfect powers over 2-adic integers:
Fourth powers: positive: this sequence; negative: A319282 (negated).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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