A032767 a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).

0, 2, 8, 20, 38, 64, 100, 148, 208, 282, 373, 480, 606, 753, 921, 1112, 1328, 1571, 1841, 2140, 2471, 2833, 3229, 3661, 4129, 4635, 5182, 5769, 6399, 7074, 7794, 8561, 9377, 10244, 11162, 12133, 13160, 14242, 15382, 16582, 17842, 19164

Offset: 0

Author

Patrick De Geest, May 15 1998

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A032765-A032798.

Programs

Maple

A032767 := proc(n)
        n*(n+1)*(n+2)*(n+3) /(4*n+6) ;
        floor(%) ;
end proc: # R. J. Mathar, May 20 2013

Mathematica

Table[Floor[Times@@(n+Range[0,3])/Total[n+Range[0,3]]],{n,0,50}] (* Harvey P. Dale, Oct 18 2024 *)

Formula

The g.f. has denominator (1-x)^4(1-x^16). - Ralf Stephan, May 16 2005