A254406 a(n) = floor(a(n-1)^(5/2)), a(1) = 2.

2, 5, 55, 22434, 75381849525, 1560152215306022835807766096, 96142947030750035305397690793504947854390697291777107758182668001398

Offset

1,1

Comments

The next term -- a(8) -- has 170 digits. - Harvey P. Dale, Apr 18 2022

Links

Table of n, a(n) for n=1..7.

Formula

a(n) ~ c^((5/2)^n), where c = 1.292359119971021796628915278748164958162881226395259818195999161... .

Mathematica

RecurrenceTable[{a[1]==2, a[n]==Floor[a[n-1]^(5/2)]}, a, {n, 1, 10}]
NestList[Floor[(Sqrt[#])^5]&, 2, 10] (* Harvey P. Dale, Apr 18 2022 *)

Crossrefs

Cf. A254405.

Sequence in context: A013171 A073422 A006525 * A260654 A339167 A042161

Adjacent sequences: A254403 A254404 A254405 * A254407 A254408 A254409

Keyword

nonn,easy

Author

Vaclav Kotesovec, Jan 30 2015

Status

approved