A128626 A triangular array distributing the values of sequence A072213 (cf. A115994).

1, 4, 1, 9, 20, 1, 16, 140, 74, 1, 25, 572, 1136, 224, 1, 36, 1785, 8866, 6685, 604, 1, 49, 4600, 47152, 88380, 31851, 1492, 1, 64, 10416, 194282, 737059, 665542, 130808, 3458, 1, 81, 21320, 665769, 4512584, 8211274, 4105870, 479826, 7602, 1, 100, 40425

Offset: 0

Author

Alford Arnold, Mar 15 2007

Keywords

• nonn
• tabl

Examples

			A115994 distributes the numeric partition sequence A000041 and A072213 records partition values for sequence A000290 (the squares).
Therefore the table begins:
   1;
   4,    1;
   9,   20,     1;
  16,  140,    74,     1;
  25,  572,  1136,   224,     1;
  36, 1785,  8866,  6685,   604,    1;
  49, 4600, 47152, 88380, 31851, 1492, 1;
  ...
		

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..209

Crossrefs

Cf. A000041, A000290, A115994.

Programs

Maple

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