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A254364
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a(n) = 3*4^n + 10*2^n + 6*3^n + 5^n + 15.
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9
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35, 70, 182, 574, 2054, 7990, 32942, 141694, 629174, 2862790, 13275902, 62494414, 297701894, 1431677590, 6937683662, 33825224734, 165731728214, 815255212390, 4023182840222, 19905098860654, 98686897716134, 490094080827190, 2437150677449582
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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 fifth 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.: -(2754*x^4-4081*x^3+2107*x^2-455*x+35) / ((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)). - Colin Barker, Jan 30 2015
a(n) = 15*a(n-1) -85*a(n-2) +225*a(n-3) -274*a(n-4) +120*a(n-5). - Colin Barker, Jan 30 2015
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MATHEMATICA
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Table[3 4^n + 10 2^n + 6 3^n + 5^n + 15, {n, 0, 30}] (* Bruno Berselli, Jan 30 2015 *)
LinearRecurrence[{15, -85, 225, -274, 120}, {35, 70, 182, 574, 2054}, 30] (* Harvey P. Dale, Aug 11 2016 *)
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PROG
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(PARI) vector(30, n, n--; 3*4^n + 10*2^n + 6*3^n + 5^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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