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A293908 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(Sum_{j>=1} j^(k-1)*A000009(j)*x^j). 1
1, 1, 1, 1, 1, 2, 1, 1, 3, 8, 1, 1, 5, 19, 38, 1, 1, 9, 49, 121, 238, 1, 1, 17, 133, 409, 1041, 1828, 1, 1, 33, 373, 1441, 4841, 10651, 16096, 1, 1, 65, 1069, 5233, 23601, 66541, 121843, 160604, 1, 1, 129, 3109, 19441, 119441, 442681, 1006825, 1575729, 1826684, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Seiichi Manyama, Antidiagonals n = 0..139, flattened

FORMULA

A(0,k) = 1 and A(n,k) = (n-1)! * Sum_{j=1..n} j^k*A000009(j)*A(n-j,k)/(n-j)! for n > 0.

EXAMPLE

Square array begins:

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

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

     2,    3,    5,     9,     17, ...

     8,   19,   49,   133,    373, ...

    38,  121,  409,  1411,   5233, ...

   238, 1041, 4841, 23601, 119441, ...

CROSSREFS

Columns k=0..2 give A293839, A293840, A293841.

Rows n=0-1 give A000012.

Cf. A293796.

Sequence in context: A243716 A333988 A195805 * A346249 A235453 A219206

Adjacent sequences:  A293905 A293906 A293907 * A293909 A293910 A293911

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Oct 19 2017

STATUS

approved

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Last modified October 18 17:19 EDT 2021. Contains 348068 sequences. (Running on oeis4.)