1,1

Terms have been verified. There are no additional terms for m <= 7. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 16 2008

(C(3m+1,m+1)*C(2m,m))/(C(3m-2,m)*C(2m-2,m-1)) = (27m^2-1)/(m^2+1), so, for a brute-force search for large m, about 27 times as many cases must be examined for m as for m-1. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 16 2008

10 = (2*5) = 3+7; 231 = (3*7*11) = (2*5)+(13*17); 2958 = (2*3*17*29) = (5*13*23)+(7*11*19); 226083 = (3*11*13*17*31) = (2*7*19*23)+(5*29*37*41).

Cf. A057035, A056600, A002110.

Sequence in context: A092254 A004702 A027952 this_sequence A087434 A012240 A096331

Adjacent sequences: A056599 A056600 A056601 this_sequence A056603 A056604 A056605

fini,more,nonn

Naohiro Nomoto (6284968128(AT)geocities.co.jp), Aug 21 2000