A322768 Column 3 of array in A322765.

66, 249, 1075, 5133, 26683, 149410, 894124, 5683643, 38186471, 270054693, 2003233849, 15539557832, 125727364954, 1058517565329, 9254401000167, 83864649249661, 786443164853871, 7620060523287298, 76182494678422156, 784894262599538443, 8323844770001318027, 90767456208155581709

Offset: 0

Author

N. J. A. Sloane, Dec 30 2018

Keywords

• nonn

References

• D. E. Knuth, The Art of Computer Programming, Vol. 4A, Table A-1, page 778.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..500

Crossrefs

Cf. A322765, A322774.

Programs

PARI

T(n, k) = if(k==0, sum(j=0, n, stirling(n, j, 2)), (T(n+2, k-1)+T(n+1, k-1)+sum(j=0, k-1, binomial(k-1, j)*T(n, j)))/2);
vector(20, n, T(n-1, 3)) \\ Seiichi Manyama, Nov 21 2020