Rearrangement of triangular numbers such that the sum of two consecutive terms is a palindrome.

Terms

a(0) =1a(1) =3a(2) =6a(3) =105a(4) =36a(5) =378a(6) =15a(7) =136a(8) =45a(9) =10a(10) =78a(11) =21a(12) =120a(13) =253a(14) =171a(15) =91a(16) =595a(17) =406a(18) =28a(19) =153a(20) =190a(21) =325a(22) =210a(23) =5565a(24) =1431a(25) =8128a(26) =10153a(27) =24090a(28) =6324346a(29) =182710