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A254362
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a(n) = 3*2^n + 3^n + 6.
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5
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10, 15, 27, 57, 135, 345, 927, 2577, 7335, 21225, 62127, 183297, 543735, 1618905, 4832127, 14447217, 43243335, 129533385, 388206927, 1163834337, 3489930135, 10466644665, 31393642527, 94168344657, 282479868135, 847389272745, 2542067154927, 7626000138177
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OFFSET
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0,1
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COMMENTS
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This is the sequence of third terms of "third partial sums of m-th powers".
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LINKS
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FORMULA
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G.f.: -(47*x^2-45*x+10) / ((x-1)*(2*x-1)*(3*x-1)). - Colin Barker, Jan 30 2015
a(n) = 6*a(n-1) -11*a(n-2) +6*a(n-3). - Colin Barker, Jan 30 2015
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MATHEMATICA
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PROG
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(PARI) vector(30, n, n--; 3*2^n + 3^n + 6) \\ Colin Barker, Jan 30 2015
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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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