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Search: id:A099359
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| A099359 |
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a(n) = (2^n + 1)^3 - 2. |
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+0
3
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| 6, 25, 123, 727, 4911, 35935, 274623, 2146687, 16974591, 135005695, 1076890623, 8602523647, 68769820671, 549957165055, 4398851866623, 35187593412607, 281487861809151, 2251851353686015, 18014604668698623, 144116012711149567
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OFFSET
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0,1
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COMMENT
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Similar to Kynea number, with exponent 3.
These can be prime, as with Kynea numbers. In this sequence, primes include a(3) = 727, a(7) = 2146687, a(11) = 8602523647. Such a(n) must have prime n, and can be conjectured to be infinite in number. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Nov 19 2004
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LINKS
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Eric Weisstein's World of Mathematics, Integer sequence primes.
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EXAMPLE
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(2^1 + 1)^3 - 2 = 25
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MATHEMATICA
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Table[(2^n + 1)^3 - 2, {n, 19}] (from Robert G. Wilson v Nov 23 2004)
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CROSSREFS
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Cf. A098878.
Sequence in context: A094669 A100296 A120758 this_sequence A073967 A082430 A136593
Adjacent sequences: A099356 A099357 A099358 this_sequence A099360 A099361 A099362
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KEYWORD
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nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 16 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 23 2004
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