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Search: id:A133653
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| 1, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, 102, 106, 110, 114, 118, 122, 126, 130, 134, 138, 142, 146, 150, 154
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OFFSET
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1,2
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FORMULA
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Inverse binomial transform of A003261: (1, 7, 23, 63, 159, 383,...). Binomial transform of [1, 5, -1, 1, -1, 1,...]. "1" followed by 2 * [3, 5, 7, 9, 11,...].
O.g.f.: x(1+4x-x^2)/(1-x)^2. a(n)=4n-2, n>1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2008
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EXAMPLE
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a(4) = 14 = (1, 3, 3, 1) dot (1, 5, -1, 1) = (1, 15, -3, 1).
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CROSSREFS
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Cf. A003261.
Sequence in context: A077667 A091577 A115036 this_sequence A073760 A136767 A007944
Adjacent sequences: A133650 A133651 A133652 this_sequence A133654 A133655 A133656
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 19 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 08 2008
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