A095093 - OEIS

A095093

Number of 4k+3 primes whose Legendre-vector is not Dyck-path (A095103) in range ]2^n,2^(n+1)].

0, 0, 0, 1, 1, 3, 6, 12, 21, 41, 77, 143, 287, 530, 1010, 1967, 3711, 7125, 13806, 26525, 51126

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OFFSET

1,6

LINKS

FORMULA

a(n) = A095008(n) - A095092(n).

PROG

(PARI) is(m) = {my(s=0); if(isprime(m), for(i=1, m-1, if((s+=kronecker(i, m))<0, return(1)))); 0; }

a(n) = {my(c=0); forstep(m=2^n+3, 2^(n+1), 4, c+=is(m)); c; } \\ Jinyuan Wang, Jul 20 2020

CROSSREFS

KEYWORD

nonn,more

AUTHOR

STATUS

approved