A024190 [ (2nd elementary symmetric function of 3,4,...,n+3)/(3+4+...+n+3) ].

1, 3, 6, 9, 13, 17, 22, 27, 33, 39, 46, 53, 60, 69, 77, 86, 96, 106, 117, 128, 140, 152, 165, 178, 191, 206, 220, 235, 251, 267, 284, 301, 319, 337, 356, 375, 394, 415, 435, 456, 478, 500, 523, 546

Offset

1,2

Links

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

Formula

Empirical g.f.: -x*(x^12 -2*x^11 +x^10 -2*x^9 +2*x^8 +2*x^6 -x^5 -x^3 +x^2 +x +1) / ((x -1)^3*(x^2 +1)*(x^2 +x +1)*(x^4 -x^2 +1)). - Colin Barker, Aug 16 2014

Mathematica

Table[Floor[1/12 x (106 + 35 x + 3 x^2)/(6 + x)], {x, 44}] (* Ivan Neretin, May 02 2018 *)

Crossrefs

Sequence in context: A342711 A109512 A025205 * A004116 A004129 A219646

Adjacent sequences: A024187 A024188 A024189 * A024191 A024192 A024193

Keyword

nonn

Author

Clark Kimberling

Status

approved