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

0,2

Links

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

Example

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;
  ...

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

Crossrefs

Cf. A000041, A000290, A115994.

Sequence in context: A001254 A143763 A278350 * A193963 A028941 A364109

Adjacent sequences: A128623 A128624 A128625 * A128627 A128628 A128629

Keyword

nonn,tabl

Author

Alford Arnold, Mar 15 2007

Status

approved