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A265606
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Triangle read by rows: The Bell transform of the quartic factorial numbers (A007696).
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4
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1, 0, 1, 0, 1, 1, 0, 5, 3, 1, 0, 45, 23, 6, 1, 0, 585, 275, 65, 10, 1, 0, 9945, 4435, 990, 145, 15, 1, 0, 208845, 89775, 19285, 2730, 280, 21, 1, 0, 5221125, 2183895, 456190, 62965, 6370, 490, 28, 1, 0, 151412625, 62002395, 12676265, 1715490, 171255, 13230, 798, 36, 1
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OFFSET
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0,8
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LINKS
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EXAMPLE
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[1],
[0, 1],
[0, 1, 1],
[0, 5, 3, 1],
[0, 45, 23, 6, 1],
[0, 585, 275, 65, 10, 1],
[0, 9945, 4435, 990, 145, 15, 1],
[0, 208845, 89775, 19285, 2730, 280, 21, 1],
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MATHEMATICA
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(* The function BellMatrix is defined in A264428. *)
rows = 10;
M = BellMatrix[Pochhammer[1/4, #] 4^# &, rows];
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PROG
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(Sage) # uses[bell_transform from A264428]
multifact_4_1 = lambda n: prod(4*k + 1 for k in (0..n-1))
mfact = [multifact_4_1(k) for k in (0..n)]
return bell_transform(n, mfact)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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