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A050916
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a(n) = n*5^n + 1.
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3
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1, 6, 51, 376, 2501, 15626, 93751, 546876, 3125001, 17578126, 97656251, 537109376, 2929687501, 15869140626, 85449218751, 457763671876, 2441406250001, 12969970703126, 68664550781251, 362396240234376, 1907348632812501
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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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a(n) = 11*a(n-1) - 35*a(n-2) + 25*a(n-3); a(0)=1, a(1)=6, a(2)=51. [Harvey P. Dale, Sep 15 2011]
G.f.: -(20*x^2-5*x+1)/((x-1)*(5*x-1)^2). [Colin Barker, Oct 14 2012]
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MATHEMATICA
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Table[n 5^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{11, -35, 25}, {1, 6, 51}, 20] (* Harvey P. Dale, Sep 15 2011 *)
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PROG
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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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