A160645 A triangular array distributing the values of sequence A120380.

2, 5, 6, 10, 55, 12, 20, 302, 285, 20, 36, 1307, 3216, 1015, 30, 65, 4772, 24859, 20566, 2870, 42, 110, 15509, 150264, 257954, 96000, 6930, 56, 185, 46006, 763123, 2374064, 1834151, 360272, 14910, 72, 300, 127109, 3395312, 17535553, 24381958

Offset: 1

Author

Alford Arnold, May 26 2009

Keywords

• nonn
• tabl

Comments

Column 1 is essentially A000712 and the main diagonal is essentially A002378.

Row n of this triangle is row n*(n+1) of A115994, reversed.

Examples

			The table begins:
   2;
   5,    6;
  10,   55,    12;
  20,  302,   285,    20;
  36, 1307,  3216,  1015,   30;
  65, 4772, 24859, 20566, 2870, 42;
  ...
		

Links

• Nathaniel Johnston, Table of n, a(n) for n = 1..210

Crossrefs

Cf. A128626 (analogous based on p(n^2)), A000712, A002378.

Programs

Maple

nn:=8: g:=sum(t^k*q^(k^2)/product((1-q^h)^2, h=1..k), k=1..nn): gser:=series(g, q=0, nn*(nn+1)+1): for n from 1 to nn do P[n]:=coeff(gser, q^(n*(n+1))) od: for n from 1 to nn do seq(coeff(P[n], t, n-j+1), j=1..n); od; # Nathaniel Johnston, Apr 30 2011

Extensions

Edited and extended by Nathaniel Johnston, Apr 30 2011