A089302 Triangle read by rows in which each row is the inverse binomial transform of a diagonal of A089246.
1, 1, 1, 2, 3, 1, 5, 10, 6, 1, 14, 36, 32, 11, 1, 43, 137, 164, 89, 20, 1, 144, 551, 835, 627, 235, 37, 1, 523, 2346, 4320, 4166, 2210, 610, 70, 1, 2048, 10568, 22980, 27178, 18764, 7494, 1582, 135, 1, 8597, 50265, 126352, 177590, 151722, 79948, 25004, 4135, 264, 1
Offset: 1
Examples
The fifth antidiagonal is ( 14 36 32 11 1) which generates 14 50 118 229 395 629 ... by way of the binomial transform. Array begins 1 1 1 1 1 ... 1 3 6 11 ... 2 10 32 ... 5 36 ... 14 ... The fifth row is 14,36,32,11,1. Its binomial transform is 14,50,118,229,395,629... which is a diagonal of A089246.
Extensions
More terms from David Wasserman, Sep 07 2005