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

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

Offset: 1

Author

Vaclav Kotesovec, Jan 30 2015

Keywords

• nonn
• easy

Comments

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

Crossrefs

Cf. A254405.

Programs

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 *)

Formula

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