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A254368
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a(n) = 5*2^n + 3^n + 15.
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5
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21, 28, 44, 82, 176, 418, 1064, 2842, 7856, 22258, 64184, 187402, 551936, 1635298, 4864904, 14512762, 43374416, 129795538, 388731224, 1164882922, 3492027296, 10470838978, 31402031144, 94185121882, 282513422576, 847456381618, 2542201372664, 7626268573642, 22878134632256, 68633061719458, 205896500803784, 617684133702202
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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 "fifth partial sums of m-th powers".
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LINKS
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FORMULA
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G.f.: -(107*x^2-98*x+21) / ((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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LinearRecurrence[{6, -11, 6}, {21, 28, 44}, 40] (* Harvey P. Dale, Apr 26 2022 *)
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PROG
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(PARI) vector(30, n, n--; 5*2^n + 3^n + 15) \\ 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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