OFFSET
1,1
COMMENTS
It appears that limit a(n)/n^2 exists and is near exp(-1).
LINKS
Paul D. Hanna, Table of n, a(n) for n = 1..3000
EXAMPLE
1 = 1/2 + 2/3^2 + 3^2/4^3 + 4^3/5^4 + 5^4/8^5 + 6^5/9^6 + 7^6/15^7 + 8^7/17^8 + 9^8/21^9 + 10^9/28^10 + 11^10/33^11 + 12^11/38^12 + 13^12/50^13 + 14^13/61^14 + 15^14/72^15 + 16^15/78^16 + 17^16/86^17 + 18^17/91^18 + 19^18/110^19 + 20^19/123^20 + 21^20/141^21 + 22^21/161^22 + 23^22/178^23 + 24^23/187^24 + 25^24/214^25 + 26^25/230^26 + 27^26/239^27 + ... + n^(n-1)/a(n)^n + ...
PROG
(PARI) /* Must use appropriate precision to obtain N terms: */ N=100;
A=[2, 3]; for(i=3, N, A=concat(A, ceil((1/(1 - sum(n=1, #A, n^(n-1)/A[n]^n * 1.))*(#A+1)^(#A) )^(1/(#A+1))) ) ); A
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Mar 26 2018
STATUS
approved