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Search: id:A086550
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| A086550 |
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Smallest k such that tau(k)-tau(k-1) = n, where tau(k) = number of divisors of k, or 0 if no such number exists. |
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+0
1
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| 2, 6, 50, 12, 36, 24, 400, 48, 1850, 60, 144, 120, 1600, 168, 576, 180, 1296, 240, 4356, 630, 2304, 360, 900, 960, 9216, 1008, 40000, 720, 20736, 840, 5184, 1800, 46656, 1260, 36864, 1680, 7056, 3024, 986050, 2880, 3600, 6480, 82944, 2520, 193600, 3360
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OFFSET
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1,1
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COMMENT
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Conjecture: No term is zero.
a(2k+1) is either a square or one more than a square. - David Wasserman (wasserma(AT)spawar.navy.mil), Mar 24 2005
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EXAMPLE
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a(3) = 50 as tau(50)- tau(49) = 6-3 = 3.
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CROSSREFS
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Sequence in context: A126023 A088679 A074020 this_sequence A080310 A103990 A079835
Adjacent sequences: A086547 A086548 A086549 this_sequence A086551 A086552 A086553
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 28 2003
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EXTENSIONS
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Corrected and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Mar 24 2005
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