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Search: id:A128587
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| 1, 1, 1, -1, 3, -5, 9, -15, 25, -41, 67, -109, 177, -287, 465, -753, 1219, -1973, 3193, -5167, 8361, -13529, 21891, -35421, 57313, -92735, 150049, -242785, 392835, -635621, 1028457, -1664079, 2692537, -4356617, 7049155, -11405773, 18454929
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OFFSET
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1,5
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COMMENT
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Binomial transform of A128587 = A128588: (1, 2, 4, 6, 10, 16, 26,...)
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FORMULA
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Row sums of triangle A128586, inverse binomial transform of A128588
a(n) = -2*a(n-1)+a(n-3)=(-1)^n-(-1)^n*A118658(n-1). G.f.: -x*(1+3*x+3*x^2)/((1+x)*(x^2-x-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 03 2009]
a(n+3) = (-1)^n * A001595(n) for all n>=0. - Maximilian Hasler (maximilian.hasler(AT)gmail.com) and [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Sep 30 2009]
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EXAMPLE
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a(5) = 3 = ( -3, 8, 0, -7, 5).
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CROSSREFS
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Cf. A128586, A128588.
This is a signed version of A001595. [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Sep 30 2009]
Sequence in context: A053523 A053522 A053521 this_sequence A001595 A092369 A061969
Adjacent sequences: A128584 A128585 A128586 this_sequence A128588 A128589 A128590
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KEYWORD
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sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 11 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 03 2009
Removed duplicate of a formula - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 23 2009
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