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A084757 For n, k > 0, let T(n, k) be given by T(n, 1) = n and T(n, k+1) = k*T(n, k)+1. a(n) is the sum of the n-th antidiagonal. 1
1, 4, 11, 31, 106, 466, 2577, 17151, 132666, 1165310, 11438525, 123981551, 1469997610, 18919751410, 262644893329, 3911200633719, 62186842823250, 1051369907752254, 18832837831656989, 356278889320409303 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..20.

FORMULA

E.g.f.: exp(x)*((Ei(1)-Ei(1-x))*x*exp(-1)+1-log(1-x)+1/(1-x))-1. - Vladeta Jovovic, Jan 06 2005

EXAMPLE

The table begins

1 2 5 16 65 326 1957 ...

2 3 7 22 89 446 2677 ...

3 4 9 28 113 566 3397 ...

4 5 11 34 137 686 4117 ...

...

CROSSREFS

Cf. A000522, A084756.

Sequence in context: A176573 A134597 A076730 * A155962 A027153 A319918

Adjacent sequences:  A084754 A084755 A084756 * A084758 A084759 A084760

KEYWORD

nonn,easy

AUTHOR

Amarnath Murthy, Jun 17 2003

EXTENSIONS

Edited and extended by David Wasserman, Jan 05 2005

STATUS

approved

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Last modified January 22 16:44 EST 2022. Contains 350484 sequences. (Running on oeis4.)