n  (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18)?
106436
I followed bugzpodder's advice.  Here's the formula I came up with. \n\n - 778728 - 121373345554191121 / 217945728000 * n^4 + 1298728131310487 / 1009008000 * n^3 + 670835515657 / 360360 * n + 2210058967013 / 12830400 * n^5 - 113499324114761 / 2874009600 * n^6 + 8961501223669 / 1306368000 * n^7 - 66868104743317 / 73156608000 * n^8 + 85853565361 / 914457600 * n^9 - 121097474346419 / 60540480 * n^2 - 27139677827 / 3657830400 * n^10 + 1792199 / 4009500 * n^11 - 1158076427 / 57480192000 * n^12 + 12283303 / 18681062400 * n^13 - 7672127 / 523069747200 * n^14 + 261523 / 1307674368000 * n^15 - 13147 / 10461394944000 * n^16\n\nCheers
787052
1, 1, 9, 9, 25\nFor an odd n, the nth term is n^2.\nFor an even n, the nth term is (n-1)^2.
488357
Eleven: 1 3 7, 3 8, 3 3 5 = 3 ways\nTwelve; 1 3 3 5, 5 7, 1 3 8, 3 9 = 4 ways\nThirteen: 3 3 7, 1 3 9, 5 8, 1 5 7 = 4 ways\nFourteen: 3 3 8, 1 3 3 7, 5 9, 1 5 8 = 4 ways\nFifteen: 3 3 9, 1 3 3 8, 3 5 7, 1 5 9, 7 8 = 5 ways \nSixteen: 1 3 3 9, 1 3 5 7, 1 7 8, 7 9, 3 5 8 = 5 ways\nSeventeen: 8 9, 1 7 9, 3 5 9, 1 3 5 8 = 4 ways\nEighteen: 1 8 9, 1 3 5 9, 3 7 8, 3 3 5 7 = 4 ways\nNineteen: 1 3 7 8, 3 7 9, 3 3 5 8, 1 3 3 5 7 = 4 ways\nTwenty: 1 3 7 9, 3 8 9, 3 3 5 9, 5 7 8, 1 3 3 5 8 = 5 ways\nTwenty-one: 1 5 7 8, 5 7 9, 1 3 3 5 9, 1 3 8 9, 3 3 7 8 = 5 ways\nTwenty-two: 1 5 7 9, 3 3 7 9, 1 3 3 7 8, 5 8 9 = 4 ways\nTwenty-three: 3 3 8 9, 1 3 3 7 9, 3 5 7 8, 1 5 8 9 = 4 ways\nTwenty-four: 1 3 3 8 9, 7 8 9, 3 5 7 9, 1 3 5 7 8 = 4 ways\nTwenty-five: 1 7 8 9, 1 3 5 7 9 = 2 ways\nTwenty-six: 3 3 5 7 8, 1 3 5 8 9 = 2 ways\nTwenty-seven: 3 7 8 9, 3 3 5 7 9, 1 3 3 5 7 8 = 3 ways\nTwenty-eighr: 1 3 3 5 7 9, 1 3 7 8 9, 3 3 5 8 9 = 3 ways\nTwenty-nine: 1 3 3 5 8 9, 5 7 8 9 = 2 ways\nThirty: 3 3 7 8 9, 1 5 7 8 9 = 2 ways\nThirty-one: 1 3 3 7 8 9 = 1 way\nThirty-two: 3 5 7 8 9 = 1 way\nThirty-three: 1 3 5 7 8 9 = 1 way\nThirty-four: cannot be done = 0 ways\nThirty-five: 3 3 5 7 8 9 = 1 way\nThirty-six: 1 3 3 5 7 8 9 = 1 way\n\n78 ways in all\nSystematic searching is the only way I could find.
291700
1\n2\n3\n4\n5\n6\n7\n8\n9\n10
907310
5\n\n1s,2s,2px,2py,2pz
914732
560\n2*280\n4*140\n5*112\n7*80\n8*70\n10*56\n16*35\n20*28\n\n300\n2*150\n3*100\n4*75\n5*60\n6*50\n10*30\n12*25\n\n\n222\n2*111\n3*74\n6*37
748360
Regroup and add.  You got the 5n, so you should be able to get the other part!\n\nn + n - 1 + n - 2 + n + 7 + n - 11 = \nn + n + n + n + n - 1 - 2 + 7 - 11 =\n5n - 7\n\nNotice that -1 -2 - 11 = -14, add 7 to it and you get -7\n\nNRT
13280
14, 23, 28, 31, 43 (19)
1051900
1 2 3 4 5 6 10 12 15 20 30 60\n-1 -2 -3 -4 -5 -6 -10 -12 -15 -20 -30 -60
1070909
Five and seven\n\nBy giving one, it's four and eight (twice)\n\nBy givng one, it's six and six
243986
2+2[24+(-4)+(10)]\n2+2[30]\n2+60\n62!
368833
10 - B.\n11 - A.\n12 - C.\n13 - B.\n14 - B.\n15 - B.\n16 - C.\n17 - C.\n18 - A.\n19 - A.\n20 - C.
205892
n! =n*n-1*n-2...until you get to zero.\n\nso 4! equals 4*3*2*1\nwhich is 24
314519
1\n15\n17\n3\n20\n___\n\n56
605278
72201,02,03,04,05,06,07,09,10,11,12,14,15,16,17,19,21,22,23,25,27,31,60,95\n\n72213,14,15,16,17,18,19,20,24,90,98,99
893743
8\n9\n7\n4\n4\n5\n7\n7\n9\n8\n5\n4\n8\n8
945958
(2n-1) * (2n-2) * (2n-3) * (2n-4)... * 3 * 2 * 1\n\nJust like any other factorial.