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A264433
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Triangle read by rows, Bell transform of the third-order Bell numbers, T(n,k) for n >= 0 and 0 <= k <= n.
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0
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1, 0, 1, 0, 1, 1, 0, 2, 3, 1, 0, 6, 11, 6, 1, 0, 24, 50, 35, 10, 1, 0, 119, 274, 225, 85, 15, 1, 0, 700, 1757, 1624, 735, 175, 21, 1, 0, 4748, 12880, 13104, 6769, 1960, 322, 28, 1, 0, 36403, 106068, 117152, 67200, 22449, 4536, 546, 36, 1, 0, 310851, 968206, 1150050, 720020, 269115, 63273, 9450, 870, 45, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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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, 2, 3, 1]
[0, 6, 11, 6, 1]
[0, 24, 50, 35, 10, 1]
[0, 119, 274, 225, 85, 15, 1]
[0, 700, 1757, 1624, 735, 175, 21, 1]
[0, 4748, 12880, 13104, 6769, 1960, 322, 28, 1]
[0, 36403, 106068, 117152, 67200, 22449, 4536, 546, 36, 1]
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PROG
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(Sage) # uses[bell_transform from A264428]
uno = [1]*dim
bell_number = [sum(bell_transform(n, uno)) for n in range(dim)]
bell_number_2 = [sum(bell_transform(n, bell_number)) for n in range(dim)]
bell_number_3 = [sum(bell_transform(n, bell_number_2)) for n in range(dim)]
for n in range(dim): print(bell_transform(n, bell_number_3))
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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