Let p_n be the polynomial of degree n-1 that interpolates the first n primes (i.e., p_n(i) = prime(i) for 1 <= i <= n.) Then a(n) = p_n(n+1)/2.
A121049
Let p_n be the polynomial of degree n-1 that interpolates the first n primes (i.e., p_n(i) = prime(i) for 1 <= i <= n.) Then a(n) = p_n(n+1)/2.
Terms
- a(0) =1a(1) =2a(2) =4a(3) =4a(4) =11a(5) =-3a(6) =36a(7) =-46a(8) =133a(9) =-213a(10) =419a(11) =-586a(12) =716a(13) =-199a(14) =-1807a(15) =7570a(16) =-20637a(17) =47563a(18) =-97849a(19) =185438a(20) =-326192a(21) =531721a(22) =-785058a(23) =980926a(24) =-780084a(25) =-700944a(26) =5511613a(27) =-18000159a(28) =46704269a(29) =-107137804
External references
- oeis: A121049