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A264431
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Triangle read by rows, inverse Bell transform of second order Bell numbers (A187761).
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1
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1, 0, 1, 0, -1, 1, 0, 1, -3, 1, 0, -1, 7, -6, 1, 0, 2, -15, 25, -10, 1, 0, -8, 37, -90, 65, -15, 1, 0, 27, -133, 322, -350, 140, -21, 1, 0, -70, 587, -1330, 1757, -1050, 266, -28, 1, 0, 265, -2526, 6607, -9114, 7077, -2646, 462, -36, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,9
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LINKS
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EXAMPLE
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[ 1 ]
[ 0, 1 ]
[ 0, -1, 1 ]
[ 0, 1, -3, 1 ]
[ 0, -1, 7, -6, 1 ]
[ 0, 2, -15, 25, -10, 1 ]
[ 0, -8, 37, -90, 65, -15, 1 ]
[ 0, 27, -133, 322, -350, 140, -21, 1 ]
[ 0, -70, 587, -1330, 1757, -1050, 266, -28, 1 ]
[ 0, 265, -2526, 6607, -9114, 7077, -2646, 462, -36, 1 ]
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PROG
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(Sage) # uses[bell_transform from A264428, inverse_bell_transform from A264429]
uno = [1]*dim
bell_numbers = [sum(bell_transform(n, uno)) for n in range(dim)]
bell_number_2 = [sum(bell_transform(n, bell_numbers)) for n in range(dim)]
return inverse_bell_transform(dim, bell_number_2)
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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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