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A077966
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Expansion of 1/(1+2*x^2).
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5
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1, 0, -2, 0, 4, 0, -8, 0, 16, 0, -32, 0, 64, 0, -128, 0, 256, 0, -512, 0, 1024, 0, -2048, 0, 4096, 0, -8192, 0, 16384, 0, -32768, 0, 65536, 0, -131072, 0, 262144, 0, -524288, 0, 1048576, 0, -2097152, 0, 4194304, 0, -8388608, 0, 16777216, 0, -33554432, 0, 67108864, 0, -134217728, 0, 268435456
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Normally sequences like this are not included, since with the alternating 0's deleted it is already in the database.
Inverse binomial transform of A087455 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 02 2008]
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FORMULA
| a(n)= (1+(-1)^n)*(-2)^(n/2)/2. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2009]
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MATHEMATICA
| CoefficientList[Series[1/(1 + 2*x^2), {x, 0, 200}], x] (* From Vladimir Joseph Stephan Orlovsky, June 10 2011 *)
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PROG
| sage: [lucas_number1(n, 0, 2) for n in xrange(1, 58)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2008
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CROSSREFS
| Cf. A000079, A077957.
Sequence in context: A176296 A131575 A077957 * A021102 A021053 A128983
Adjacent sequences: A077963 A077964 A077965 * A077967 A077968 A077969
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 17 2002
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