|
| |
|
|
A128626
|
|
A triangular array distributing the values of sequence A072213 (cf. A115994).
|
|
2
| |
|
|
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
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
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: A075150 A001254 A143763 * A193963 A028941 A176080
Adjacent sequences: A128623 A128624 A128625 * A128627 A128628 A128629
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Mar 15 2007
|
| |
|
|
