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A099168
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a(n) = 3^n * 5^binomial(n,2).
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0
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1, 3, 45, 3375, 1265625, 2373046875, 22247314453125, 1042842864990234375, 244416296482086181640625, 286425347439944744110107421875, 1678273520155926235020160675048828125
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OFFSET
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0,2
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LINKS
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FORMULA
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0 = a(n)*a(n+2) - 5*a(n+1)^2 for all n in Z. - Michael Somos, Dec 03 2016
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EXAMPLE
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G.f. = 1 + 3*x + 45*x^2 + 3375*x^3 + 1265625*x^4 + 2373046875*x^5 + ...
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MATHEMATICA
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Table[3^n 5^Binomial[n, 2], {n, 0, 10}] (* Harvey P. Dale, Dec 17 2020 *)
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PROG
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(PARI) a(n) = 3^n * 5^binomial(n, 2); \\ Michel Marcus, Dec 02 2016
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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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