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Search: id:A098152
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| A098152 |
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a(n) = a(n-1)^2 + n, with a(0)=0. |
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+0
6
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| 0, 1, 3, 12, 148, 21909, 480004287, 230404115538378376, 53086056457022411804685755744397384, 2818129390158170901506703075470572449397357853477615482257305306043465
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Index entries for sequences of form a(n+1)=a(n)^2 + ...
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FORMULA
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For n>0, a(n) =floor[1.366609561487624975914833969579996...^(2^n)] =floor[A028300(n)^0.68178667449368682115305109818...] =ceiling[A003095(n)^1.53346965582393874689368175542252...].
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EXAMPLE
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a(4) =a(3)^2+4 =12^2+4 =148.
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MATHEMATICA
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a=0; lst={}; Do[a=a^2+n; AppendTo[lst, a], {n, 0, 11}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 17 2008]
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CROSSREFS
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Cf. A056520, A153056, A153057, A153058, A153059, A153060, A086851, [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 17 2008]
Sequence in context: A035087 A056426 A056417 this_sequence A028301 A004168 A061960
Adjacent sequences: A098149 A098150 A098151 this_sequence A098153 A098154 A098155
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Oct 25 2004
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