A382261 a(n) = floor(x^(phi^n)), where phi = (1+sqrt(5))/2 and x is the constant A382260.

2, 3, 7, 23, 163, 3803, 620549, 2359981439, 1464484123012601, 3456155348019933976288373, 5061484633840283809323162088349619180781, 17493277186167814180104995425523045477935447066389138909089293633

Offset

1,1

Comments

Conjecture: All terms are prime numbers. For details see A382260.

Links

Table of n, a(n) for n=1..12.

Formula

nextprime(a(n-2)*a(n-1)) <= a(n) < nextprime((a(n-2)+1)*a(n-1)).

Crossrefs

Cf. A001622, A059784, A051254, A243358, A382260. A090253.

Cf. A090253 ( similar growth ).

Sequence in context: A176706 A281529 A090253 * A001064 A108176 A111235

Adjacent sequences: A382258 A382259 A382260 * A382262 A382263 A382264

Keyword

nonn

Author

Thomas Scheuerle, Mar 19 2025

Status

approved