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A081033
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6th binomial transform of the periodic sequence (1,7,1,1,7,1...).
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4
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1, 13, 121, 997, 7729, 57853, 423721, 3059797, 21887329, 155555053, 1100604121, 7762822597, 54632726929, 383893932253, 2694581744521, 18898693305397, 132473958606529, 928233237589453, 6502210299844921, 45538360282508197, 318882962895526129, 2232752944858526653
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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) = 7*a(n-1) + 6*5^(n-1).
a(n) = 4*7^n - 3*5^n.
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MATHEMATICA
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CoefficientList[Series[(1 + x) / ((1 - 5 x) (1 - 7 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)
LinearRecurrence[{12, -35}, {1, 13}, 30] (* Harvey P. Dale, Aug 18 2015 *)
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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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