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A192245
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1-sequence of reduction of triangular number sequence by x^2 -> x+1.
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2
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0, 3, 9, 29, 74, 179, 403, 871, 1816, 3686, 7316, 14258, 27362, 51827, 97067, 180027, 331038, 604125, 1095085, 1973095, 3535810, 6305148, 11193384, 19790484, 34860084, 61193859, 107080413, 186826121, 325073906, 564190391
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OFFSET
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1,2
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COMMENTS
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See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]".
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LINKS
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FORMULA
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Empirical G.f.: x^2*(3-3*x+2*x^2)/(1-x)/(1-x-x^2)^3. [Colin Barker, Feb 10 2012]
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MAPLE
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with(combinat, fibonacci); seq((1/2)*(sum(fibonacci(i)*(i^2+3*i+2), i=0..n-1)), n=1..40) # John M. Campbell, Feb 06 2016
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MATHEMATICA
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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