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Search: id:A097141
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| A097141 |
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Expansion of x(1+2x)/(1+x)^2. |
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+0
2
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| 0, 1, 0, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, -11, 12, -13, 14, -15, 16, -17, 18, -19, 20, -21, 22, -23, 24, -25, 26, -27, 28, -29, 30, -31, 32, -33, 34, -35, 36, -37, 38, -39, 40, -41, 42, -43, 44, -45, 46, -47, 48, -49, 50, -51, 52, -53, 54, -55, 56, -57, 58, -59, 60
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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Partial sums of A097140. Binomial transform is x(1+x)/(1-x), or {0,1,2,2,2,2,....}. Second binomial transform is x/((1-x)^2(1 - 2x)), or Eulerian numbers A000295(n+1).
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FORMULA
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a(n)=(n-2)(-1)^n+2*0^n; a(n)=-2a(n-1)-a(n-2), n>2.
a(n)=A099570(n), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 15 2008]
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CROSSREFS
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Cf. A040000.
Sequence in context: A056064 A114142 A024000 this_sequence A160356 A038608 A105811
Adjacent sequences: A097138 A097139 A097140 this_sequence A097142 A097143 A097144
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 29 2004
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