a(n) = numerator of r(n): r(n) is such that, for every positive integer n, the continued fraction (of rational terms) [r(1);r(2),...,r(n)] equals n(n+1)/2, the n-th triangular number.

A128536

a(n) = numerator of r(n): r(n) is such that, for every positive integer n, the continued fraction (of rational terms) [r(1);r(2),...,r(n)] equals n(n+1)/2, the n-th triangular number.

Terms

    a(0) =1a(1) =1a(2) =-10a(3) =21a(4) =-16a(5) =165a(6) =-1664a(7) =2625a(8) =-34816a(9) =41895a(10) =-32768a(11) =334719a(12) =-6553600a(13) =2675673a(14) =-60817408a(15) =85579065a(16) =-67108864a(17) =2737609875a(18) =-79456894976a(19) =21895664505a(20) =-704374636544a(21) =175134692733a(22) =-687194767360

External references