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A132780
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a(0)=1. a(n+1)=2*a(n)-A130151(n).
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0
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1, 1, 1, 1, 3, 7, 15, 29, 57, 113, 227, 455, 911, 1821, 3641, 7281, 14563, 29127, 58255, 116509, 233017, 466033, 932067, 1864135, 3728271, 7456541, 14913081, 29826161, 59652323, 119304647, 238609295, 477218589, 954437177, 1908874353, 3817748707
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| The first member of the sequences of the d'-th differences (that is, the diagonal of the pyramidal arrangement of repeated differences and essentially the binomial transform of 2*A113405) has the same absolute value as the first differences themselves, cf. the comment in A113405.
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FORMULA
| First differences: a(n+1)-a(n)= 2*A113405(n).
O.g.f.: (1-x-x^2)/((1+x)(1-x+x^2)(1-2x)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2008
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CROSSREFS
| Sequence in context: A182717 A122768 A023608 * A018087 A171625 A153823
Adjacent sequences: A132777 A132778 A132779 * A132781 A132782 A132783
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KEYWORD
| nonn
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Nov 17 2007
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EXTENSIONS
| Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2008
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