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A161407
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Number of partitions of n^2 into parts smaller than n.
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4
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0, 0, 1, 5, 30, 185, 1226, 8442, 60289, 442089, 3314203, 25295011, 195990980, 1538069121, 12203218743, 97746332667, 789480879664, 6423539487002, 52607252796831, 433368610079872, 3588859890833443, 29862449600982149
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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EXAMPLE
| a(3) = #{2+2+2+2+1, 2+2+2+1+1+1, 2+2+5x1, 2+7x1, 9x1} = 5.
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MAPLE
| a := proc (n) local G, Gser: G := 1/(product(1-x^j, j = 1 .. n-1)): Gser := series(G, x = 0, n^2+5): coeff(Gser, x, n^2) end proc: 0, seq(a(n), n = 1 .. 23); [From Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 20 2009]
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CROSSREFS
| A072213, A093115, A109655, A161408.
Sequence in context: A147837 A076036 A195257 * A006773 A059273 A038744
Adjacent sequences: A161404 A161405 A161406 * A161408 A161409 A161410
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2009
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 20 2009
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