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Search: id:A091307
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| A091307 |
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a(n)=6*2^n+4 (Bode Number A003461(n+2)) except for a(1)=6. |
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+0
2
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| 6, 28, 52, 100, 196, 388, 772, 1540, 3076, 6148, 12292, 24580, 49156, 98308, 196612, 393220, 786436, 1572868, 3145732, 6291460, 12582916, 25165828, 50331652, 100663300, 201326596, 402653188, 805306372, 1610612740, 3221225476
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OFFSET
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1,1
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COMMENT
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Sequence similar to Bode Numbers relevant to A079946 and numeric partitions.
A053445 describes certain partitions which start triangular arrays of all other numeric partitions; e.g. - 22, 33, 222, 44, 332, 2222, ... A079946 provides the indices for these partitions. (cf. A090324 and A090774).
By expanding the terms of a(n) in a similar manner, the vertex partitions can be readily indexed by noting that the indices increase by eight as follows: 6 28 (one case), 52 60 (two cases), 100 108 116 124 (four cases), 196 204 212 220 228 236 244 252 (eight cases), 388 ...
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FORMULA
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a(1) = 6, a(2) = 28, a(n) = 2*a(n-1) - 4 for n > 2
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EXAMPLE
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a(3) = 52 because we can write 52 = 2*28 - 4
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CROSSREFS
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Except for initial term, same as A003461(n+2). Cf. A053445, A079946, A090774.
Sequence in context: A055196 A120624 A138873 this_sequence A058007 A033588 A014635
Adjacent sequences: A091304 A091305 A091306 this_sequence A091308 A091309 A091310
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KEYWORD
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nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)AOL.com), Feb 21 2004
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EXTENSIONS
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Edited by M. F. Hasler (MHasler(AT)univ-ag.fr), Apr 07 2009
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