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A308460 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. log(Sum_{j>=0} k^binomial(j,2) * x^j/j!). 1
1, 1, 0, 1, 1, 0, 1, 2, 4, 0, 1, 3, 20, 38, 0, 1, 4, 54, 624, 728, 0, 1, 5, 112, 3834, 55248, 26704, 0, 1, 6, 200, 15104, 1027080, 13982208, 1866256, 0, 1, 7, 324, 45750, 9684224, 1067308488, 10358360640, 251548592, 0, 1, 8, 490, 116208, 60225000, 30458183680, 4390480193904, 22792648882176, 66296291072, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

Seiichi Manyama, Antidiagonals n = 1..50, flattened

EXAMPLE

Square array begins:

   1,     1,        1,          1,           1, ...

   0,     1,        2,          3,           4, ...

   0,     4,       20,         54,         112, ...

   0,    38,      624,       3834,       15104, ...

   0,   728,    55248,    1027080,     9684224, ...

   0, 26704, 13982208, 1067308488, 30458183680, ...

CROSSREFS

Columns k=1..4 give A000007(n-1), A001187, A054941, A003027.

Sequence in context: A118343 A309148 A226031 * A244116 A138133 A302937

Adjacent sequences:  A308457 A308458 A308459 * A308461 A308462 A308463

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, May 28 2019

STATUS

approved

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Last modified November 12 09:29 EST 2019. Contains 329054 sequences. (Running on oeis4.)