OFFSET
1,1
COMMENTS
T = A000078 is defined by T(n) = Sum_{k=1..4} T(n-k), T(3) = 1, T(n) = 0 for n < 3.
The largest terms correspond to unproven probable primes T(a(n)).
FORMULA
a(n) = A104534(n) + 2.
PROG
(PARI) a(n, N=5, S=vector(N, i, i>N-2))={for(i=N, oo, ispseudoprime(S[i%N+1]=2*S[(i-1)%N+1]-S[i%N+1])&&!n--&&return(i))}
CROSSREFS
Cf. A000045, A000073, A000078, A001591, A001592, A122189 (or A066178), ... (Fibonacci, tribonacci, tetranacci numbers).
Cf. A005478, A092836, A104535, A105757, A105759, A105761, ... (primes in Fibonacci numbers and above generalizations).
Cf. A001605, A303263, A303264, A248757, A249635, ... (indices of primes in A000045, A000073, A000078, ...).
KEYWORD
nonn,hard,more
AUTHOR
M. F. Hasler, Apr 18 2018
STATUS
approved