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A324269
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a(n) = 3*11^(2*n).
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1
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3, 363, 43923, 5314683, 643076643, 77812273803, 9415285130163, 1139249500749723, 137849189590716483, 16679751940476694443, 2018249984797680027603, 244208248160519283339963, 29549198027422833284135523, 3575452961318162827380398283, 432629808319497702113028192243
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OFFSET
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0,1
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COMMENTS
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x = A324268(n) and y = a(n) satisfy the Lebesgue-Ramanujan-Nagell equation x^2 + 11^(10*n+1) = 4*y^5 (see Theorem 2.1 in Chakraborty, Hoque and Sharma).
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LINKS
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FORMULA
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O.g.f.: 3/(1 - 121*x).
E.g.f.: 3*exp(121*x).
a(n) = 121*a(n-1) for n > 0.
a(n) = 3*121^n.
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EXAMPLE
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For A324268(0) = 31 and a(0) = 3, 31^2 + 11 = 972 = 4*3^5.
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MAPLE
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a:=n->3*121^n: seq(a(n), n=0..20);
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MATHEMATICA
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3 121^Range[0, 20]
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PROG
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(GAP) List([0..20], n->3*121^n);
(Magma) [3*121^n: n in [0..20]];
(PARI) a(n) = 3*121^n;
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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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STATUS
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approved
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