Consider all 3 X 3 matrices M whose entries are the n-th to (n+8)-th primes prime(n), ..., prime(n+8), in any order. a(n) is the sum of the number of M such that det(M) is divisible by prime(n+i), for i from 0 to 8.

A339105

Consider all 3 X 3 matrices M whose entries are the n-th to (n+8)-th primes prime(n), ..., prime(n+8), in any order. a(n) is the sum of the number of M such that det(M) is divisible by prime(n+i), for i from 0 to 8.

Terms

    a(0) =746640a(1) =384984a(2) =291960a(3) =209304a(4) =163224a(5) =133272a(6) =111384a(7) =102240a(8) =89712a(9) =77328a(10) =69480a(11) =59400a(12) =59904a(13) =55080a(14) =48456a(15) =44712a(16) =43704a(17) =40104a(18) =38088a(19) =37440a(20) =35856a(21) =35208a(22) =31968a(23) =31968a(24) =29736a(25) =30816a(26) =27216a(27) =25488a(28) =22968a(29) =23544

External references