A024177 a(n) = floor ( (2nd elementary symmetric function of 2,3,...,n+2)/(2+3+...+n+2) ).

1, 2, 5, 7, 10, 14, 18, 23, 28, 34, 40, 47, 54, 61, 70, 78, 87, 97, 107, 118, 129, 141, 153, 166, 179, 192, 207, 221, 236, 252, 268, 285, 302, 320, 338, 357, 376, 395, 416, 436, 457, 479, 501, 524

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Links

• Ivan Neretin, Table of n, a(n) for n = 1..10000

Programs

Mathematica

Table[Floor[1/12 n (3 n^2 + 23 n + 46)/(n + 4)], {n, 44}] (* Ivan Neretin, May 21 2018 *)

Formula

a(n) = floor( A001701(n+1)/A000096(n+1) ). - R. J. Mathar, Oct 31 2011

G.f. ( -1-2*x^2+2*x^3-x^4-2*x^6+x^5-x^8+x^9 ) / ( (x^2+1)*(1+x+x^2)*(x^4-x^2+1)*(x-1)^3 ). - R. J. Mathar, Oct 31 2011

a(n) = floor(1/12 n (3 n^2 + 23 n + 46)/(n + 4)). - Ivan Neretin, May 21 2018