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A086814
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a(n) = ceiling( (1 + n + 2*n^2 + 4*n^3)/(1 + 2*n + n^2) ).
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3
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2, 5, 9, 12, 16, 20, 24, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 103, 107, 111, 115, 119, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 171, 175, 179, 183, 187, 191, 195
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(2) = ceiling( (1*2^0 + 1*2^1 + 2*2^2 + 4*2^3)/(1*2^0 + 2*2^1 + 1*2^2) ) = ceiling(43/9) = ceiling(4.7777...) = 5.
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MATHEMATICA
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Table[Ceiling[(1+n+2n^2+4n^3)/(1+2n+n^2)], {n, 50}] (* Harvey P. Dale, Aug 11 2019 *)
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PROG
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(PARI) a(n) = ceil((1 + n + 2*n^2 + 4*n^3)/(1 + 2*n + n^2)); \\ Michel Marcus, Aug 31 2013
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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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Wang Dan (wangdan01(AT)lycos.com), Aug 06 2003
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STATUS
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approved
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