|
|
A324271
|
|
a(n) = 181*13^(13*n).
|
|
1
|
|
|
181, 54820394293197793, 16603732764981619615170330497629, 5028857331023091670255052219467889871886268137, 1523115700170851818946635098990437850680396062232555484942661, 461313830041580805547042416276650834293620917849684448198307537920811805233, 139720475446324270671242216643939258928764157180440338773843068067157129372210783782659949
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
x = a(n) and y = A324272(n) satisfy the Lebesgue-Ramanujan-Nagell equation x^2 + 7^(26*n+1) = 4*y^13 (see Theorem 2.1 in Chakraborty, Hoque and Sharma).
|
|
LINKS
|
|
|
FORMULA
|
O.g.f.: 181/(1 - 302875106592253*x).
E.g.f.: 181*exp(302875106592253*x).
a(n) = 302875106592253*a(n-1) for n > 0.
a(n) = 181*302875106592253^n.
|
|
EXAMPLE
|
For a(0) = 181 and A324272(0) = 2, 181^2 + 7 = 32768 = 4*2^13.
|
|
MAPLE
|
a:=n->181*302875106592253^n: seq(a(n), n=0..20);
|
|
MATHEMATICA
|
181 302875106592253^Range[0, 20]
|
|
PROG
|
(GAP) List([0..20], n->181*302875106592253^n);
(Magma) [181*302875106592253^n: n in [0..20]];
(PARI) a(n) = 181*302875106592253^n;
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|