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A289485
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G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m)).
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3
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1, 1, 3, 8, 6, 13, 24, 37, 46, 98, 90, 142, 235, 296, 392, 601, 746, 1018, 1428, 1702, 2258, 3132, 3891, 5044, 6766, 8134, 10681, 13812, 16952, 20996, 27986, 33144, 41376, 52500, 64066, 79401, 99718, 119590, 147162, 181880, 220339, 266662, 329342, 391736
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OFFSET
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0,3
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LINKS
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MAPLE
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b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(b(n-i*j, i-1)*j!, j=0..min(3, n/i))))
end:
a:= n-> b(n$2):
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PROG
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(PARI) Vec(prod(m=1, 50, 1+x^m+2*x^(2*m)+6*x^(3*m)) + O(x^50)) \\ Michel Marcus, Oct 04 2017
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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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