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A086851
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a(0) = 1, a(n+1) = a(n)^2 - n.
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7
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1, 1, 0, -2, 1, -3, 4, 10, 93, 8641, 74666872, 5575141774264374, 31082205803147712138788845611865, 966103517589229313003894215813508352493573272034098666228778213
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) ~ c^(2^n), where c = 1.0178612979109216580505412401816630473815821687019037486630926162018899277... . - Vaclav Kotesovec, Dec 18 2014
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MAPLE
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a := proc(n) option remember: if n=0 then RETURN(1) fi: a(n-1)^2-n+1: end: for n from 0 to 15 do printf(`%d, `, a(n)) od:
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MATHEMATICA
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RecurrenceTable[{a[0] == 1, a[n+1] == a[n]^2 - n}, a, {n, 0, 15}] (* Vaclav Kotesovec, Dec 18 2014 *)
nxt[{n_, a_}]:={n+1, a^2-n-1}; NestList[nxt, {-1, 1}, 14][[All, 2]] (* Harvey P. Dale, Oct 18 2020 *)
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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David McLeod Moulton (dmoulton(AT)asianinc.org), Aug 18 2003
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STATUS
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approved
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