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A034299
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Alternating sum transform (PSumSIGN) of A000975.
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3
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1, 1, 4, 6, 15, 27, 58, 112, 229, 453, 912, 1818, 3643, 7279, 14566, 29124, 58257, 116505, 233020, 466030, 932071, 1864131, 3728274, 7456536, 14913085, 29826157, 59652328, 119304642, 238609299
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| N. J. A. Sloane, Transforms
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FORMULA
| a(n)=sum{k=0..floor(n/2), A001045(n-2k+1)} - Paul Barry (pbarry(AT)wit.ie), Nov 24 2003
G.f.: (1/(1-x^2))/(1-x-2x^2); a(n)=sum{k=0..n+1, A001045(k)*(1-(-1)^floor((n+k)/2))}; - Paul Barry (pbarry(AT)wit.ie), Apr 16 2005
a(n)=Sum_{k, 0<=k<=n}A126258(n,k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 13 2007
a(n) = 2*a(n-1)+((2*n+3)*(-1)^n+1)/4 = 2*a(n-1)+A001057(n+1), with a(0)=1. [From Bruno Berselli (berselli.bruno(AT)yahoo.it), Nov 09 2010]
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CROSSREFS
| Sequence in context: A027631 A128620 A045907 * A007135 A073603 A064910
Adjacent sequences: A034296 A034297 A034298 * A034300 A034301 A034302
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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