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A143762
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a(n+1) = a(n)^2 + n*a(n) + n^2, a(1) = 1.
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6
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1, 3, 19, 427, 184053, 33876427099, 1147612313197120118431, 1317014021401644919149757309088631306730827, 1734525932568532421128602190712731410907662021613907396581559184320372648524685950609
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OFFSET
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1,2
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COMMENTS
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Let f(n+1,k) = f(n,k)^2 + k*n*f(n,k) + n^2, f(1, k) = 1:
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LINKS
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FORMULA
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a(n) ~ c^(2^n), where c = 1.460594463210996899745335217057197049886968082959330102210304982704405107261... . - Vaclav Kotesovec, Dec 18 2014
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MATHEMATICA
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RecurrenceTable[{a[n+1] == a[n]^2 + n*a[n] + n^2, a[1] == 1}, a, {n, 1, 10}] (* Vaclav Kotesovec, Dec 18 2014 *)
nxt[{n_, a_}] := {n + 1, a^2 + n*a + n^2}; NestList[nxt, {1, 1}, 10][[All, 2]] (* Harvey P. Dale, Sep 12 2018 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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