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a(n) = n^1*(n+1)^2*(n+2)^3*(n+3)^4*(n+4)^5/(1!*2!*3!*4!*5!).
0

%I #10 Oct 05 2024 14:03:41

%S 2500,162000,3781575,49172480,432081216,2857680000,15219319500,

%T 68309049600,266863130820,929327871472,2937513954375,8547581952000,

%U 23153892070400,58918947333120,141893427649968,325406324160000,714327643354500,1507601438758800,3070631112865855

%N a(n) = n^1*(n+1)^2*(n+2)^3*(n+3)^4*(n+4)^5/(1!*2!*3!*4!*5!).

%p [seq(n^1*(n+1)^2*(n+2)^3*(n+3)^4*(n+4)^5/(1!*2!*3!*4!*5!),n=1..37)];

%t Table[n^1*(n+1)^2*(n+2)^3*(n+3)^4*(n+4)^5/(1!*2!*3!*4!*5!),{n,19}] (* _James C. McMahon_, Oct 05 2024 *)

%Y Cf. A090447, A090448, A090449, A120409.

%K easy,nonn

%O 1,1

%A _Zerinvary Lajos_, Jul 05 2006

%E Offset changed from 0 to 1 by _Georg Fischer_, May 08 2021

%E a(17)-a(19) from _James C. McMahon_, Oct 05 2024