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

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

Offset: 0

Author

Vaclav Kotesovec, Oct 08 2014

Keywords

• nonn

Comments

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

Links

• 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 + ...

Crossrefs

Cf. A003095.

Programs

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 *)

Formula

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