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A179608
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a(n) = (7 + (-1)^n + 6*n)*2^(n-3).
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3
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1, 3, 10, 24, 64, 144, 352, 768, 1792, 3840, 8704, 18432, 40960, 86016, 188416, 393216, 851968, 1769472, 3801088, 7864320, 16777216, 34603008, 73400320, 150994944, 318767104, 654311424, 1375731712, 2818572288, 5905580032
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OFFSET
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0,2
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COMMENTS
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This sequence belongs to a family of sequences with g.f. (1+x)/(1 - 2*x - (k+8)*x^2 - 2*k*x^3). Among the members of this family are several red king sequences, see A179596. For the sequence given above, which is not a red king sequence, k = -4.
Inverse binomial transform of A119916 (without the leading 0).
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LINKS
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FORMULA
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G.f.: (1+x)/(1 - 4*x^2 - 2*x + 8*x^3).
a(n) = 2*a(n-1) + 4*a(n-2) - 8*a(n-3) with a(1)=1, a(2)=3 and a(3)=10.
a(n) = (7 + (-1)^n + 6*n)*2^(n-3).
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PROG
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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