cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A264431 Triangle read by rows, inverse Bell transform of second order Bell numbers (A187761).

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%I A264431 #18 Mar 26 2020 15:54:49
%S A264431 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,
%T A264431 -15,1,0,27,-133,322,-350,140,-21,1,0,-70,587,-1330,1757,-1050,266,
%U A264431 -28,1,0,265,-2526,6607,-9114,7077,-2646,462,-36,1
%N A264431 Triangle read by rows, inverse Bell transform of second order Bell numbers (A187761).
%H A264431 Peter Luschny, <a href="https://oeis.org/wiki/User:Peter_Luschny/BellTransform">The Bell transform</a>
%e A264431 [ 1 ]
%e A264431 [ 0,     1 ]
%e A264431 [ 0,    -1,     1 ]
%e A264431 [ 0,     1,    -3,     1 ]
%e A264431 [ 0,    -1,     7,    -6,     1 ]
%e A264431 [ 0,     2,   -15,    25,   -10,     1 ]
%e A264431 [ 0,    -8,    37,   -90,    65,   -15,     1 ]
%e A264431 [ 0,    27,  -133,   322,  -350,   140,   -21,     1 ]
%e A264431 [ 0,   -70,   587, -1330,  1757, -1050,   266,   -28,     1 ]
%e A264431 [ 0,   265, -2526,  6607, -9114,  7077, -2646,   462,   -36,   1 ]
%o A264431 (Sage) # uses[bell_transform from A264428, inverse_bell_transform from A264429]
%o A264431 def A264431_matrix(dim):
%o A264431     uno = [1]*dim
%o A264431     bell_numbers = [sum(bell_transform(n, uno)) for n in range(dim)]
%o A264431     bell_number_2 = [sum(bell_transform(n, bell_numbers)) for n in range(dim)]
%o A264431     return inverse_bell_transform(dim, bell_number_2)
%o A264431 A264431_matrix(10)
%Y A264431 Cf. A000110, A187761, A264428, A264429.
%K A264431 sign,tabl
%O A264431 0,9
%A A264431 _Peter Luschny_, Nov 13 2015