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 A264434 Triangle read by rows, inverse Bell transform of the third order Bell numbers, T(n,k) for n>=0 and 0<=k<=n. 0
 1, 0, 1, 0, -1, 1, 0, 1, -3, 1, 0, -1, 7, -6, 1, 0, 1, -15, 25, -10, 1, 0, 0, 31, -90, 65, -15, 1, 0, -7, -56, 301, -350, 140, -21, 1, 0, 33, 35, -938, 1701, -1050, 266, -28, 1, 0, -102, 423, 2485, -7686, 6951, -2646, 462, -36, 1, 0, 240, -3219, -3450, 31885 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 LINKS EXAMPLE [ 1] [ 0,     1] [ 0,    -1,     1] [ 0,     1,    -3,     1] [ 0,    -1,     7,    -6,      1] [ 0,     1,   -15,    25,    -10,     1] [ 0,     0,    31,   -90,     65,    -15,    1] [ 0,    -7,   -56,   301,   -350,    140,   -21,  1] [ 0,    33,    35,  -938,   1701,  -1050,   266, -28,  1] [ 0,  -102,   423,  2485,  -7686,   6951, -2646, 462, -36, 1] PROG (Sage) # The function bell_transform is defined in A264428. # The function inverse_bell_transform is defined in A264429. def A264434_matrix(dim):     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)]     bell_number_3 = [sum(bell_transform(n, bell_number_2)) for n in range(dim)]     return inverse_bell_transform(dim, bell_number_3) A264434_matrix(10) CROSSREFS Cf. A048993, A264428, A264429, A264431. Sequence in context: A054024 A144644 A151509 * A151511 A048993 A264431 Adjacent sequences:  A264431 A264432 A264433 * A264435 A264436 A264437 KEYWORD sign,tabl AUTHOR Peter Luschny, Dec 02 2015 STATUS approved

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Last modified January 24 00:02 EST 2019. Contains 319404 sequences. (Running on oeis4.)