# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a203155 Showing 1-1 of 1 %I A203155 #8 Nov 28 2017 11:35:56 %S A203155 1,6,33,168,984,5640,37440,246240,1853280,13880160,117391680, %T A203155 989936640,9315855360,87500528640,907925760000,9408462336000, %U A203155 106785133056000,1210848984576000,14928525545472000,183922359312384000,2448351304261632000 %N A203155 (n-1)-st elementary symmetric function of {3, 3, 4, 4, 5, 5,..., Floor[(n+5)/2]}. %e A203155 Let esf abbreviate "elementary symmetric function". Then %e A203155 0th esf of {3}: 1 %e A203155 1st esf of {3,3}: 3+3=6 %e A203155 2nd esf of {3,3,4} is 3*3+3*4+3*4=33 %t A203155 f[k_] := Floor[(k + 5)/2]; t[n_] := Table[f[k], {k, 1, n}] %t A203155 a[n_] := SymmetricPolynomial[n - 1, t[n]] %t A203155 Table[a[n], {n, 1, 22}] (* A203155 *) %Y A203155 Cf. A203152, A203153, A203154. %K A203155 nonn %O A203155 1,2 %A A203155 _Clark Kimberling_, Dec 29 2011 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE