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2, 98, 4802, 235298, 11529602, 564950498, 27682574402, 1356446145698, 66465861139202, 3256827195820898, 159584532595224002, 7819642097165976098, 383162462761132828802, 18774960675295508611298, 919973073089479921953602, 45078680581384516175726498, 2208855348487841292610598402
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OFFSET
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0,1
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COMMENTS
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x = A324265(n) and y = a(n) satisfy the Lebesgue-Ramanujan-Nagell equation x^2 + 7^(6*n+1) = 4*y^3 (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.: 2/(1 - 49*x).
E.g.f.: 2*exp(49*x).
a(n) = 49*a(n-1) for n > 0.
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EXAMPLE
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For A324265(0) = 5 and a(0) = 2, 5^2 + 7 = 32 = 4*2^3.
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MAPLE
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a:=n->2*49^n: seq(a(n), n=0..20);
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MATHEMATICA
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2*49^Range[0, 20]
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PROG
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(GAP) List([0..20], n->2*49^n);
(Magma) [2*49^n: n in [0..20]];
(PARI) a(n) = 2*49^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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