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A241453
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a(n) = pg(3, n) * pg(4, n) * ... * pg(n, n) where pg(m, n) is the n-th m-th-order polygonal number.
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4
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1, 1, 1, 6, 160, 13125, 2544696, 978839680, 662561095680, 724201891583625, 1198933986250000000, 2861518844725337212416, 9468599329204035806822400, 42083045149004715366557171125, 244738882349978781346230604032000, 1821980763196818488550000000000000000
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OFFSET
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0,4
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LINKS
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EXAMPLE
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a(5) = pg(3, 5) * pg(4, 5) * pg(5, 5) = 15 * 25 * 35 = 13125.
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MAPLE
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p:= (s, n)-> (n^2*(s-2)-n*(s-4))/2:
a:= n-> mul(p(i, n), i=3..n):
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PROG
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(PARI) pg(m, n) = (n^2*(m-2)-n*(m-4))/2;
v=[]; for(n=0, 20, v=concat(v, prod(m=3, n, pg(m, n)))); v
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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