A095788 - OEIS

A095788

Table, read by antidiagonals, of iterated binomial transforms of A095148, which also forms the antidiagonal sums shift right.

1, 1, 1, 1, 2, 2, 1, 3, 5, 5, 1, 4, 10, 15, 14, 1, 5, 17, 37, 51, 44, 1, 6, 26, 77, 150, 190, 155, 1, 7, 37, 141, 371, 656, 766, 605, 1, 8, 50, 235, 798, 1892, 3059, 3329, 2584, 1, 9, 65, 365, 1539, 4708, 10154, 15111, 15553, 11956, 1, 10, 82, 537, 2726, 10394, 28891

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Table of n, a(n) for n=0..61.

EXAMPLE

From this table of iterated binomial transforms of A095148, the antidiagonal sums form the first row (A095148) shift left:

1, 1, 2, 5, 14, 44, 155, 605, 2584, 11956, 59461, ...

1, 2, 5, 15, 51, 190, 766, 3329, 15553, 77822, ...

1, 3, 10, 37, 150, 656, 3059, 15111, 78840, ...

1, 4, 17, 77, 371, 1892, 10154, 57077, 334993, ...

1, 5, 26, 141, 798, 4708, 28891, 183953, 1212664, ...

1, 6, 37, 235, 1539, 10394, 72350, 518505, 3821409, ...

1, 7, 50, 365, 2726, 20840, 163091, 1306139, 10699288, ...

1, 8, 65, 537, 4515, 38656, 337114, 2994701, 27094705, ...

1, 9, 82, 757, 7086, 67292, 648539, 6344517, 63004248, ...

1, 10, 101, 1031, 10643, 111158, 1175006, 12573713, ...

...

CROSSREFS

Cf. A095148 (first row), A095789 (diagonal).

Sequence in context: A009766 A059718 A076038 * A071944 A309495 A388788

Adjacent sequences: A095785 A095786 A095787 * A095789 A095790 A095791

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna, Jun 06 2004

STATUS

approved