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A084178
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Inverse binomial transform of Fibonacci oblongs.
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2
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0, 1, 0, 3, -1, 10, -7, 35, -36, 127, -165, 474, -715, 1807, -3004, 6995, -12393, 27370, -50559, 107883, -204820, 427351, -826045, 1698458, -3321891, 6765175, -13333932, 26985675, -53457121, 107746282, -214146295, 430470899, -857417220, 1720537327, -3431847189
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OFFSET
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0,4
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COMMENTS
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Inverse binomial transform of A001654.
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LINKS
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FORMULA
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a(n)=((1/2+sqrt(5)/2)^(n+1)+(1/2-sqrt(5)/2)^(n+1)-(-2)^n)/5;
G.f.: x(1+x)/(1+x-3x^2-2x^3)=x(1-x)/((1+2x)(1-x-x^2)).
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MATHEMATICA
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LinearRecurrence[{-1, 3, 2}, {0, 1, 0}, 40] (* Harvey P. Dale, Nov 24 2020 *)
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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