A024192 Integer part of (4th elementary symmetric function of 3,4,...,n+5)/(3+4+...+n+5).

20, 110, 368, 961, 2149, 4316, 8000, 13931, 23071, 36655, 56244, 83769, 121594, 172567, 240089, 328176, 441530, 585615, 766730, 992095, 1269934, 1609562, 2021481, 2517473, 3110702, 3815817, 4649060, 5628378, 6773533, 8106230, 9650230, 11431482, 13478251

Offset

1,1

Links

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

Formula

a(n) = floor(1/2880 n (1 + n) (2 + n) (53848 + 26922 n + 5165 n^2 + 450 n^3 + 15 n^4)/(8 + n)). - Ivan Neretin, May 17 2018

Example

For n=2, the 4th elementary symmetric function of (3,4,5,6,7) is 3*4*5*6 + 3*4*5*7 + 3*4*6*7 + 3*5*6*7 + 4*5*6*7 = 2754, and 2754/(3+4+5+6+7) = 110.16, so a(2) = 110. - Michael B. Porter, May 05 2018

Mathematica

Table[Floor[1/2880 x (1 + x) (2 + x) (53848 + 26922 x + 5165 x^2 + 450 x^3 + 15 x^4)/(8 + x)], {x,  33}] (* Ivan Neretin, May 02 2018 *)

Crossrefs

Sequence in context: A285698 A109854 A008383 * A309781 A228243 A086605

Adjacent sequences: A024189 A024190 A024191 * A024193 A024194 A024195

Keyword

nonn

Author

Clark Kimberling

Status

approved