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 A324267 a(n) = 11*7^(5*n). 0
 11, 184877, 3107227739, 52223176609373, 877714929273732011, 14751754816303613908877, 247932743197614838966495739, 4167005614922312598509893885373, 70034863369999307843155786531464011, 1177075948659578366919919304234315632877, 19783115469121533612823083746266142841763739 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS x = a(n) and y = A324266(n) satisfy the Lebesgue-Ramanujan-Nagell equation x^2 + 7^(10*n+1) = 4*y^5 (see Theorem 2.1 in Chakraborty, Hoque and Sharma). LINKS K. Chakraborty, A. Hoque, R. Sharma, Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations, arXiv:1812.11874 [math.NT], 2018. Index entries for linear recurrences with constant coefficients, signature (16807). FORMULA a(n) = 11*16807^n. O.g.f.: 11/(1 - 16807*x). E.g.f.: 11*exp(16807*x). a(n) = 16807*a(n-1) for n > 0. a(n) = 11*((7/2)*A109808(n))^5. EXAMPLE For a(0) = 11 and A324266(0) = 2, 11^2 + 7 = 128 = 4*2^5. MAPLE a:=n->11*16807^n: seq(a(n), n=0..20); MATHEMATICA 11*16807^Range[0, 20] PROG (GAP) List([0..20], n->11*16807*n); (MAGMA) [11*16807^n: n in [0..20]]; (PARI) a(n) = 11*16807^n; CROSSREFS Cf. A324266: 2*49^n; A000290: n^2; A000584: n^5; A109808: 2*7^(n-1). Sequence in context: A022009 A201249 A144837 * A085017 A239203 A098880 Adjacent sequences:  A324264 A324265 A324266 * A324268 A324269 A324270 KEYWORD nonn,easy AUTHOR Stefano Spezia, Feb 26 2019 STATUS approved

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Last modified February 23 07:09 EST 2020. Contains 332159 sequences. (Running on oeis4.)