A126695 Numbers that can be expressed as the ratio between the product and the sum of n consecutive numbers with n>1.
1, 5, 8, 16, 20, 21, 33, 36, 40, 56, 65, 85, 96, 120, 133, 161, 176, 180, 208, 224, 225, 261, 280, 320, 341, 385, 408, 432, 456, 481, 533, 560, 616, 645, 705, 736, 756, 800, 833, 901, 936, 1008, 1045, 1120, 1121, 1152, 1160, 1232, 1240
Offset: 1
Examples
224 = 4*5*6*7*8/(4+5+6+7+8) 225 = 25*26*27/(25+26+27) 5544 = 11*12*13*14*15/(11+12+13+14+15)
Crossrefs
Cf. A370601
Formula
Number = Product_{i=a..a+n-1} i / Sum_{i=a..a+n-1} i with a, n > 1
Integer values of (n+1)*binomial(a+n,a-1)/Sum_{i=0..n-1}(a+i) with a, n > 1