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

1,1

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.

Links

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

Example

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

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

Crossrefs

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

Sequence in context: A073825 A015891 A238146 * A248616 A341522 A265716

Adjacent sequences: A160642 A160643 A160644 * A160646 A160647 A160648

Keyword

nonn,tabl

Author

Alford Arnold, May 26 2009

Extensions

Edited and extended by Nathaniel Johnston, Apr 30 2011

Status

approved