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A061183
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One-fourth of the fourth (m=3) column of triangle A060921 (bisection of Fibonacci triangle, odd part).
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2
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1, 10, 64, 331, 1505, 6272, 24540, 91527, 328768, 1145650, 3893630, 12958400, 42364427, 136389128, 433263360, 1360269093, 4226523495, 13011186624, 39722775806, 120366164765, 362255552384, 1083513943700
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OFFSET
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0,2
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COMMENTS
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Numerator polynomial of g.f. is (1/4) * Sum_{m=0..3} A061177(3,m)*x^m.
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LINKS
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FORMULA
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G.f.: ((1-x^3)-2*(x-x^2))/(1-3*x+x^2)^4.
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MATHEMATICA
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CoefficientList[Series[((1-x^3)-2(x-x^2))/(1-3x+x^2)^4, {x, 0, 30}], x] (* or *) LinearRecurrence[{12, -58, 144, -195, 144, -58, 12, -1}, {1, 10, 64, 331, 1505, 6272, 24540, 91527}, 30] (* Harvey P. Dale, Jun 17 2022 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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