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A137505 Inverse binomial transform of A007910. 2
1, 1, 0, 2, 0, 0, 4, -4, 4, 4, -12, 20, -12, -12, 52, -76, 52, 52, -204, 308, -204, -204, 820, -1228, 820, 820, -3276, 4916, -3276, -3276, 13108, -19660, 13108, 13108, -52428, 78644, -52428, -52428, 209716, -314572, 209716, 209716, -838860, 1258292, -838860, -838860, 3355444, -5033164, 3355444 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
Recurrence: a(n) = -a(n-1) + 2a(n-3), starting 1,1,0.
O.g.f.: (1+x)^2/((1-x)(1+2x+2x^2)). - R. J. Mathar, Jun 12 2008
a(4n) = a(4n+1) = (-1)^n*A109499(n). - Paul Curtz, Nov 01 2009
a(n) = (1/5) * (A137429(n-1) + 4) = A077973(n-2) + 2*A077973(n-1) + A077973(n). - Ralf Stephan, Aug 18 2013
MATHEMATICA
LinearRecurrence[{-1, 0, 2}, {1, 1, 0}, 50] (* Harvey P. Dale, Sep 17 2012 *)
CROSSREFS
Sequence in context: A264655 A264476 A342276 * A107498 A094295 A085969
KEYWORD
sign
AUTHOR
Paul Curtz, Apr 23 2008
EXTENSIONS
More terms from R. J. Mathar, Jun 12 2008
STATUS
approved

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Last modified June 12 18:11 EDT 2024. Contains 373359 sequences. (Running on oeis4.)