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A001367 Solution to f(2) = 1, f(n) = sqrt(n) f(sqrt(n)) + n at values n = 2^2^i. 1
1, 6, 40, 896, 294912, 23622320128, 119903836479112085504, 2552117751907038475975309555738261585920, 984232758517187661100353372573847216752794869657944794335389464067261601939456 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..11

MAPLE

f:= proc(n) f(n):= `if`(n=2, 1, sqrt(n) *f(sqrt(n)) +n) end:

a:= n-> f(2^(2^n)):

seq (a(n), n=0..10);  # Alois P. Heinz, Jun 27 2012

MATHEMATICA

f[ 2 ] := 1; f[ n_ ] := Sqrt[ n ]*f[ Sqrt[ n ] ] + n; Table[ f[ 2^2^i ], {i, 0, 7} ]

CROSSREFS

Sequence in context: A281262 A186196 A196478 * A096671 A196712 A086803

Adjacent sequences:  A001364 A001365 A001366 * A001368 A001369 A001370

KEYWORD

nonn

AUTHOR

Alexander Sorg (sorg(AT)bu.edu)

STATUS

approved

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Last modified June 24 21:50 EDT 2021. Contains 345433 sequences. (Running on oeis4.)