A100643 Numerator of Cotesian number C(n,1).
1, 2, 3, 16, 25, 9, 3577, 2944, 15741, 26575, 4495513, 12504, 56280729661, 44436679, 29505985, 63813303296, 10004122565473, 6162434073, 965843331633293, 167791152125, 3181977977743649, 506778072148248857, 27256898762578419475451, 585293809045696
Offset: 1
Examples
1/2, 2/3, 3/8, 16/45, 25/96, 9/35, 3577/17280, 2944/14175, 15741/89600, 26575/149688, 4495513/29030400, 12504/79625, 56280729661/402361344000, 44436679/312741000, ... = A100623/A100624 = A002178/A002176 (the latter not being in lowest terms)
References
- Charles Jordan, Calculus of Finite Differences, Chelsea 1965, p. 513.