OFFSET
2,6
LINKS
Christopher Hunt Gribble and Andrew Howroyd, Rows n=2..60 of T(n,k) flattened (Rows n=2..20 from Christopher Hunt Gribble)
Christopher Hunt Gribble, C++ program
EXAMPLE
The first 19 rows of T(n,k) are:
n\k 0 1 2 3 4 5 6 7 8 9 10
2 1 1
3 1 1
4 1 2 2
5 1 2 4
6 1 3 8 3
7 1 3 12 8
8 1 4 18 22 6
9 1 4 24 40 22
10 1 5 32 73 66 10
11 1 5 40 112 146 48
12 1 6 50 172 292 174 20
13 1 6 60 240 516 448 116
14 1 7 72 335 860 1020 464 36
15 1 7 84 440 1340 2016 1360 256
16 1 8 98 578 2010 3716 3400 1168 72
17 1 8 112 728 2890 6336 7432 3840 584
18 1 9 128 917 4046 10326 14864 10600 2920 136
19 1 9 144 1120 5502 16016 27536 25344 10600 1280
20 1 10 162 1368 7336 24066 48188 54992 31800 7080 272
PROG
(C++) See Gribble link.
(PARI)
T(n, k)={(2^k*binomial(n-1*k, k) + ((k%2==0)+(n%2==0||k%2==0)+(k==0)) * 2^((k+1)\2)*binomial((n-1*k-(k%2)-(n%2))/2, k\2))/4}
for(n=2, 20, for(k=0, floor(n/2), print1(T(n, k), ", ")); print) \\ Andrew Howroyd, May 29 2017
CROSSREFS
KEYWORD
tabf,nonn
AUTHOR
Christopher Hunt Gribble, Feb 16 2014
EXTENSIONS
Corrected C++ program and xrefs added by Christopher Hunt Gribble, Apr 25 2015
STATUS
approved