A248545 a(n+1) = a(n)^2 + 75.

0, 75, 5700, 32490075, 1055604973505700, 1114301860089969598947932490075, 1241668635399966182910364962424859894024949485439789973505700

Offset

0,2

Comments

Dedicated to N. J. A. Sloane for his 75th birthday!

Links

Table of n, a(n) for n=0..6.

A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fibonacci Quarterly, Vol. 11, No. 4 (1973), pp. 429-437.

A. V. Aho and N. J. A. Sloane, Some doubly exponential sequences, Fibonacci Quarterly, Vol. 11, No. 4 (1973), pp. 429-437 (original plus references that F.Q. forgot to include - see last page!)

Index entries for sequences of form a(n+1)=a(n)^2 + ...

Formula

a(n) ~ c^(2^n), where c = 8.688980833378203252201919626948141475048572223268...

Mathematica

RecurrenceTable[{a[n+1]==a[n]^2+75, a[0]==0}, a, {n, 0, 10}]
NestList[#^2+75&, 0, 10] (* Harvey P. Dale, Jan 14 2016 *)

Crossrefs

Cf. A003095.

Sequence in context: A207552 A207313 A206696 * A114910 A294983 A361282

Adjacent sequences: A248542 A248543 A248544 * A248546 A248547 A248548

Keyword

nonn,changed

Author

Vaclav Kotesovec, Oct 08 2014

Status

approved