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A160645
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A triangular array distributing the values of sequence A120380.
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1
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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.
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..210
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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
...
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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
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CROSSREFS
| Cf. A128626 (analogous based on p(n^2), A000712, A002378.
Sequence in context: A057256 A073825 A015891 * A026344 A057812 A140144
Adjacent sequences: A160642 A160643 A160644 * A160646 A160647 A160648
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KEYWORD
| nonn,tabl
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), May 26 2009
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EXTENSIONS
| Edited and extended by Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), Apr 30 2011
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