OFFSET
0,6
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..1325
FORMULA
T(n,k) = Sum_{i=0..2*(k-1)} A154283(k,i) * binomial(n+2+i, 2*k+i) for k > 0.
EXAMPLE
Array begins:
===============================================================
n\k | 0 1 2 3 4 5 6 7
----|----------------------------------------------------------
0 | 0 0 0 0 0 0 0 0 ...
1 | 1 1 1 1 1 1 1 1 ...
2 | 2 4 10 28 82 244 730 2188 ...
3 | 3 10 46 244 1378 8020 47386 282124 ...
4 | 4 20 146 1244 11378 108020 1047386 10282124 ...
5 | 5 35 371 4619 62003 867395 12438011 181141499 ...
6 | 6 56 812 13880 256484 4951496 98204132 1982230040 ...
7 | 7 84 1596 35832 871140 22161864 580094436 15475158552 ...
...
PROG
(PARI) T(n, k) = {sum(i=1, n, binomial(1+i, 2)^k)}
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, May 15 2020
STATUS
approved